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Finding the Fourth Proportional to 2,491.52, 3,737.46 and 847.40

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Solution

The fourth proportional to 2,491.52, 3,737.46 and 847.40 is: 1,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.52 : 3,737.46 = 847.40 : x
  2. Step 2: Convert to fraction form
    2,491.52/3,737.46 = 847.40/x
  3. Step 3: Cross multiply
    2,491.52x = 3,737.46 × 847.40
  4. Step 4: Simplify right side
    2,491.52x = 3,167,123.60
  5. Step 5: Solve for x
    x = 3,167,123.60/2,491.52
  6. Step 6: Final answer
    x = 1,271.16

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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.