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Finding the Fourth Proportional to 8,853.76, 13,244.16 and 7,867.20

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Solution

The fourth proportional to 8,853.76, 13,244.16 and 7,867.20 is: 11,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,853.76 : 13,244.16 = 7,867.20 : x
  2. Step 2: Convert to fraction form
    8,853.76/13,244.16 = 7,867.20/x
  3. Step 3: Cross multiply
    8,853.76x = 13,244.16 × 7,867.20
  4. Step 4: Simplify right side
    8,853.76x = 104,194,455.55
  5. Step 5: Solve for x
    x = 104,194,455.55/8,853.76
  6. Step 6: Final answer
    x = 11,768.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.