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Finding the Fourth Proportional to 11,059.72, 15,264.64 and 6,812.88

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Solution

The fourth proportional to 11,059.72, 15,264.64 and 6,812.88 is: 9,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.72 : 15,264.64 = 6,812.88 : x
  2. Step 2: Convert to fraction form
    11,059.72/15,264.64 = 6,812.88/x
  3. Step 3: Cross multiply
    11,059.72x = 15,264.64 × 6,812.88
  4. Step 4: Simplify right side
    11,059.72x = 103,996,160.56
  5. Step 5: Solve for x
    x = 103,996,160.56/11,059.72
  6. Step 6: Final answer
    x = 9,403.15

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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.