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Finding the Fourth Proportional to 31,417.40, 43,350.78 and 20,821.40

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Solution

The fourth proportional to 31,417.40, 43,350.78 and 20,821.40 is: 28,730.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.40 : 43,350.78 = 20,821.40 : x
  2. Step 2: Convert to fraction form
    31,417.40/43,350.78 = 20,821.40/x
  3. Step 3: Cross multiply
    31,417.40x = 43,350.78 × 20,821.40
  4. Step 4: Simplify right side
    31,417.40x = 902,623,930.69
  5. Step 5: Solve for x
    x = 902,623,930.69/31,417.40
  6. Step 6: Final answer
    x = 28,730.06

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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.