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Finding the Fourth Proportional to 20,821.60, 31,264.80 and 12,073.60

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Solution

The fourth proportional to 20,821.60, 31,264.80 and 12,073.60 is: 18,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821.60 : 31,264.80 = 12,073.60 : x
  2. Step 2: Convert to fraction form
    20,821.60/31,264.80 = 12,073.60/x
  3. Step 3: Cross multiply
    20,821.60x = 31,264.80 × 12,073.60
  4. Step 4: Simplify right side
    20,821.60x = 377,478,689.28
  5. Step 5: Solve for x
    x = 377,478,689.28/20,821.60
  6. Step 6: Final answer
    x = 18,129.19

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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.