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Finding the Fourth Proportional to 40,657.80, 60,871.68 and 25,830

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Solution

The fourth proportional to 40,657.80, 60,871.68 and 25,830 is: 38,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,657.80 : 60,871.68 = 25,830 : x
  2. Step 2: Convert to fraction form
    40,657.80/60,871.68 = 25,830/x
  3. Step 3: Cross multiply
    40,657.80x = 60,871.68 × 25,830
  4. Step 4: Simplify right side
    40,657.80x = 1,572,315,494.40
  5. Step 5: Solve for x
    x = 1,572,315,494.40/40,657.80
  6. Step 6: Final answer
    x = 38,671.93

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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.