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Finding the Fourth Proportional to 9,666.47, 13,346.12 and 7,424.32

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Solution

The fourth proportional to 9,666.47, 13,346.12 and 7,424.32 is: 10,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.47 : 13,346.12 = 7,424.32 : x
  2. Step 2: Convert to fraction form
    9,666.47/13,346.12 = 7,424.32/x
  3. Step 3: Cross multiply
    9,666.47x = 13,346.12 × 7,424.32
  4. Step 4: Simplify right side
    9,666.47x = 99,085,865.64
  5. Step 5: Solve for x
    x = 99,085,865.64/9,666.47
  6. Step 6: Final answer
    x = 10,250.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.