Home / 1,537.12-2,123.11-1,116.80

Finding the Fourth Proportional to 1,537.12, 2,123.11 and 1,116.80

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Solution

The fourth proportional to 1,537.12, 2,123.11 and 1,116.80 is: 1,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.12 : 2,123.11 = 1,116.80 : x
  2. Step 2: Convert to fraction form
    1,537.12/2,123.11 = 1,116.80/x
  3. Step 3: Cross multiply
    1,537.12x = 2,123.11 × 1,116.80
  4. Step 4: Simplify right side
    1,537.12x = 2,371,089.25
  5. Step 5: Solve for x
    x = 2,371,089.25/1,537.12
  6. Step 6: Final answer
    x = 1,542.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.