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Finding the Fourth Proportional to 1,957.42, 2,933.70 and 916.06

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Solution

The fourth proportional to 1,957.42, 2,933.70 and 916.06 is: 1,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.42 : 2,933.70 = 916.06 : x
  2. Step 2: Convert to fraction form
    1,957.42/2,933.70 = 916.06/x
  3. Step 3: Cross multiply
    1,957.42x = 2,933.70 × 916.06
  4. Step 4: Simplify right side
    1,957.42x = 2,687,440.64
  5. Step 5: Solve for x
    x = 2,687,440.64/1,957.42
  6. Step 6: Final answer
    x = 1,372.95

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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.