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Finding the Fourth Proportional to 23,886.61, 32,978.28 and 15,391.74

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Solution

The fourth proportional to 23,886.61, 32,978.28 and 15,391.74 is: 21,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.61 : 32,978.28 = 15,391.74 : x
  2. Step 2: Convert to fraction form
    23,886.61/32,978.28 = 15,391.74/x
  3. Step 3: Cross multiply
    23,886.61x = 32,978.28 × 15,391.74
  4. Step 4: Simplify right side
    23,886.61x = 507,593,111.41
  5. Step 5: Solve for x
    x = 507,593,111.41/23,886.61
  6. Step 6: Final answer
    x = 21,250.11

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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.