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Finding the Fourth Proportional to 23,392.57, 32,281.86 and 12,782.38

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Solution

The fourth proportional to 23,392.57, 32,281.86 and 12,782.38 is: 17,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,392.57 : 32,281.86 = 12,782.38 : x
  2. Step 2: Convert to fraction form
    23,392.57/32,281.86 = 12,782.38/x
  3. Step 3: Cross multiply
    23,392.57x = 32,281.86 × 12,782.38
  4. Step 4: Simplify right side
    23,392.57x = 412,639,001.63
  5. Step 5: Solve for x
    x = 412,639,001.63/23,392.57
  6. Step 6: Final answer
    x = 17,639.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.