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Finding the Fourth Proportional to 8,157.19, 11,256.90 and 4,431.19

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Solution

The fourth proportional to 8,157.19, 11,256.90 and 4,431.19 is: 6,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.19 : 11,256.90 = 4,431.19 : x
  2. Step 2: Convert to fraction form
    8,157.19/11,256.90 = 4,431.19/x
  3. Step 3: Cross multiply
    8,157.19x = 11,256.90 × 4,431.19
  4. Step 4: Simplify right side
    8,157.19x = 49,881,462.71
  5. Step 5: Solve for x
    x = 49,881,462.71/8,157.19
  6. Step 6: Final answer
    x = 6,115.03

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Half scale
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Double scale
Find fourth proportional to 8,158.19, 11,258.28 and 4,432.19
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.