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Finding the Fourth Proportional to 22,101.50, 30,478.46 and 14,140.82

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Solution

The fourth proportional to 22,101.50, 30,478.46 and 14,140.82 is: 19,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,101.50 : 30,478.46 = 14,140.82 : x
  2. Step 2: Convert to fraction form
    22,101.50/30,478.46 = 14,140.82/x
  3. Step 3: Cross multiply
    22,101.50x = 30,478.46 × 14,140.82
  4. Step 4: Simplify right side
    22,101.50x = 430,990,416.74
  5. Step 5: Solve for x
    x = 430,990,416.74/22,101.50
  6. Step 6: Final answer
    x = 19,500.51

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1.5x scale

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.