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Finding the Fourth Proportional to 10,403.72, 14,357.10 and 6,157.72

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Solution

The fourth proportional to 10,403.72, 14,357.10 and 6,157.72 is: 8,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.72 : 14,357.10 = 6,157.72 : x
  2. Step 2: Convert to fraction form
    10,403.72/14,357.10 = 6,157.72/x
  3. Step 3: Cross multiply
    10,403.72x = 14,357.10 × 6,157.72
  4. Step 4: Simplify right side
    10,403.72x = 88,407,001.81
  5. Step 5: Solve for x
    x = 88,407,001.81/10,403.72
  6. Step 6: Final answer
    x = 8,497.63

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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.