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Finding the Fourth Proportional to 9,666.65, 13,346.40 and 7,424.52

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Solution

The fourth proportional to 9,666.65, 13,346.40 and 7,424.52 is: 10,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.65 : 13,346.40 = 7,424.52 : x
  2. Step 2: Convert to fraction form
    9,666.65/13,346.40 = 7,424.52/x
  3. Step 3: Cross multiply
    9,666.65x = 13,346.40 × 7,424.52
  4. Step 4: Simplify right side
    9,666.65x = 99,090,613.73
  5. Step 5: Solve for x
    x = 99,090,613.73/9,666.65
  6. Step 6: Final answer
    x = 10,250.77

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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.