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Finding the Fourth Proportional to 2,972.95, 4,459.47 and 1,124.93

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Solution

The fourth proportional to 2,972.95, 4,459.47 and 1,124.93 is: 1,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.95 : 4,459.47 = 1,124.93 : x
  2. Step 2: Convert to fraction form
    2,972.95/4,459.47 = 1,124.93/x
  3. Step 3: Cross multiply
    2,972.95x = 4,459.47 × 1,124.93
  4. Step 4: Simplify right side
    2,972.95x = 5,016,591.59
  5. Step 5: Solve for x
    x = 5,016,591.59/2,972.95
  6. Step 6: Final answer
    x = 1,687.41

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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.