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Finding the Fourth Proportional to 15,809.72, 23,717.15 and 7,384.65

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Solution

The fourth proportional to 15,809.72, 23,717.15 and 7,384.65 is: 11,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.72 : 23,717.15 = 7,384.65 : x
  2. Step 2: Convert to fraction form
    15,809.72/23,717.15 = 7,384.65/x
  3. Step 3: Cross multiply
    15,809.72x = 23,717.15 × 7,384.65
  4. Step 4: Simplify right side
    15,809.72x = 175,142,814.82
  5. Step 5: Solve for x
    x = 175,142,814.82/15,809.72
  6. Step 6: Final answer
    x = 11,078.17

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Why These Related Problems?

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