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Finding the Fourth Proportional to 15,665.81, 23,497.61 and 7,347.65

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Solution

The fourth proportional to 15,665.81, 23,497.61 and 7,347.65 is: 11,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.81 : 23,497.61 = 7,347.65 : x
  2. Step 2: Convert to fraction form
    15,665.81/23,497.61 = 7,347.65/x
  3. Step 3: Cross multiply
    15,665.81x = 23,497.61 × 7,347.65
  4. Step 4: Simplify right side
    15,665.81x = 172,652,059.89
  5. Step 5: Solve for x
    x = 172,652,059.89/15,665.81
  6. Step 6: Final answer
    x = 11,020.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.