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Finding the Fourth Proportional to 23,658, 32,651.28 and 15,272.88

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Solution

The fourth proportional to 23,658, 32,651.28 and 15,272.88 is: 21,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658 : 32,651.28 = 15,272.88 : x
  2. Step 2: Convert to fraction form
    23,658/32,651.28 = 15,272.88/x
  3. Step 3: Cross multiply
    23,658x = 32,651.28 × 15,272.88
  4. Step 4: Simplify right side
    23,658x = 498,679,081.29
  5. Step 5: Solve for x
    x = 498,679,081.29/23,658
  6. Step 6: Final answer
    x = 21,078.67

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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.