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Finding the Fourth Proportional to 21,632.64, 32,500.80 and 13,856.64

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Solution

The fourth proportional to 21,632.64, 32,500.80 and 13,856.64 is: 20,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632.64 : 32,500.80 = 13,856.64 : x
  2. Step 2: Convert to fraction form
    21,632.64/32,500.80 = 13,856.64/x
  3. Step 3: Cross multiply
    21,632.64x = 32,500.80 × 13,856.64
  4. Step 4: Simplify right side
    21,632.64x = 450,351,885.31
  5. Step 5: Solve for x
    x = 450,351,885.31/21,632.64
  6. Step 6: Final answer
    x = 20,818.17

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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.