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Finding the Fourth Proportional to 15,959.64, 23,929.19 and 7,639.46

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Solution

The fourth proportional to 15,959.64, 23,929.19 and 7,639.46 is: 11,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,959.64 : 23,929.19 = 7,639.46 : x
  2. Step 2: Convert to fraction form
    15,959.64/23,929.19 = 7,639.46/x
  3. Step 3: Cross multiply
    15,959.64x = 23,929.19 × 7,639.46
  4. Step 4: Simplify right side
    15,959.64x = 182,806,050.38
  5. Step 5: Solve for x
    x = 182,806,050.38/15,959.64
  6. Step 6: Final answer
    x = 11,454.27

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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.