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Finding the Fourth Proportional to 22,013.60, 32,971.80 and 14,140.40

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Solution

The fourth proportional to 22,013.60, 32,971.80 and 14,140.40 is: 21,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,013.60 : 32,971.80 = 14,140.40 : x
  2. Step 2: Convert to fraction form
    22,013.60/32,971.80 = 14,140.40/x
  3. Step 3: Cross multiply
    22,013.60x = 32,971.80 × 14,140.40
  4. Step 4: Simplify right side
    22,013.60x = 466,234,440.72
  5. Step 5: Solve for x
    x = 466,234,440.72/22,013.60
  6. Step 6: Final answer
    x = 21,179.38

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1.5x scale

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.