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Finding the Fourth Proportional to 15,809.76, 23,721.03 and 7,038.69

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Solution

The fourth proportional to 15,809.76, 23,721.03 and 7,038.69 is: 10,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.76 : 23,721.03 = 7,038.69 : x
  2. Step 2: Convert to fraction form
    15,809.76/23,721.03 = 7,038.69/x
  3. Step 3: Cross multiply
    15,809.76x = 23,721.03 × 7,038.69
  4. Step 4: Simplify right side
    15,809.76x = 166,964,976.65
  5. Step 5: Solve for x
    x = 166,964,976.65/15,809.76
  6. Step 6: Final answer
    x = 10,560.88

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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.