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Finding the Fourth Proportional to 1,957.40, 2,937.58 and 725.98

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Solution

The fourth proportional to 1,957.40, 2,937.58 and 725.98 is: 1,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.40 : 2,937.58 = 725.98 : x
  2. Step 2: Convert to fraction form
    1,957.40/2,937.58 = 725.98/x
  3. Step 3: Cross multiply
    1,957.40x = 2,937.58 × 725.98
  4. Step 4: Simplify right side
    1,957.40x = 2,132,624.33
  5. Step 5: Solve for x
    x = 2,132,624.33/1,957.40
  6. Step 6: Final answer
    x = 1,089.52

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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.