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Finding the Fourth Proportional to 11,572, 15,962.88 and 7,097.92

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Solution

The fourth proportional to 11,572, 15,962.88 and 7,097.92 is: 9,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572 : 15,962.88 = 7,097.92 : x
  2. Step 2: Convert to fraction form
    11,572/15,962.88 = 7,097.92/x
  3. Step 3: Cross multiply
    11,572x = 15,962.88 × 7,097.92
  4. Step 4: Simplify right side
    11,572x = 113,303,245.21
  5. Step 5: Solve for x
    x = 113,303,245.21/11,572
  6. Step 6: Final answer
    x = 9,791.15

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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.