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Finding the Fourth Proportional to 38,488.50, 53,114.29 and 20,824.50

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Solution

The fourth proportional to 38,488.50, 53,114.29 and 20,824.50 is: 28,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,488.50 : 53,114.29 = 20,824.50 : x
  2. Step 2: Convert to fraction form
    38,488.50/53,114.29 = 20,824.50/x
  3. Step 3: Cross multiply
    38,488.50x = 53,114.29 × 20,824.50
  4. Step 4: Simplify right side
    38,488.50x = 1,106,078,532.11
  5. Step 5: Solve for x
    x = 1,106,078,532.11/38,488.50
  6. Step 6: Final answer
    x = 28,737.90

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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.