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Finding the Fourth Proportional to 11,428.34, 15,767.61 and 7,448

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Solution

The fourth proportional to 11,428.34, 15,767.61 and 7,448 is: 10,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.34 : 15,767.61 = 7,448 : x
  2. Step 2: Convert to fraction form
    11,428.34/15,767.61 = 7,448/x
  3. Step 3: Cross multiply
    11,428.34x = 15,767.61 × 7,448
  4. Step 4: Simplify right side
    11,428.34x = 117,437,159.28
  5. Step 5: Solve for x
    x = 117,437,159.28/11,428.34
  6. Step 6: Final answer
    x = 10,275.96

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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.