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Finding the Fourth Proportional to 15,755.76, 21,742.28 and 8,681.44

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Solution

The fourth proportional to 15,755.76, 21,742.28 and 8,681.44 is: 11,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755.76 : 21,742.28 = 8,681.44 : x
  2. Step 2: Convert to fraction form
    15,755.76/21,742.28 = 8,681.44/x
  3. Step 3: Cross multiply
    15,755.76x = 21,742.28 × 8,681.44
  4. Step 4: Simplify right side
    15,755.76x = 188,754,299.28
  5. Step 5: Solve for x
    x = 188,754,299.28/15,755.76
  6. Step 6: Final answer
    x = 11,980.02

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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.