Home / 1,472.02-2,206.49-916.73

Finding the Fourth Proportional to 1,472.02, 2,206.49 and 916.73

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Solution

The fourth proportional to 1,472.02, 2,206.49 and 916.73 is: 1,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.02 : 2,206.49 = 916.73 : x
  2. Step 2: Convert to fraction form
    1,472.02/2,206.49 = 916.73/x
  3. Step 3: Cross multiply
    1,472.02x = 2,206.49 × 916.73
  4. Step 4: Simplify right side
    1,472.02x = 2,022,755.58
  5. Step 5: Solve for x
    x = 2,022,755.58/1,472.02
  6. Step 6: Final answer
    x = 1,374.14

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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.