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Finding the Fourth Proportional to 31,461.60, 43,412.40 and 20,834.40

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Solution

The fourth proportional to 31,461.60, 43,412.40 and 20,834.40 is: 28,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461.60 : 43,412.40 = 20,834.40 : x
  2. Step 2: Convert to fraction form
    31,461.60/43,412.40 = 20,834.40/x
  3. Step 3: Cross multiply
    31,461.60x = 43,412.40 × 20,834.40
  4. Step 4: Simplify right side
    31,461.60x = 904,471,306.56
  5. Step 5: Solve for x
    x = 904,471,306.56/31,461.60
  6. Step 6: Final answer
    x = 28,748.42

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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.