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Finding the Fourth Proportional to 11,352, 15,655.68 and 7,369.32

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Solution

The fourth proportional to 11,352, 15,655.68 and 7,369.32 is: 10,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352 : 15,655.68 = 7,369.32 : x
  2. Step 2: Convert to fraction form
    11,352/15,655.68 = 7,369.32/x
  3. Step 3: Cross multiply
    11,352x = 15,655.68 × 7,369.32
  4. Step 4: Simplify right side
    11,352x = 115,371,715.74
  5. Step 5: Solve for x
    x = 115,371,715.74/11,352
  6. Step 6: Final answer
    x = 10,163.12

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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.