Home / 1,540.49-2,311.17-916.35

Finding the Fourth Proportional to 1,540.49, 2,311.17 and 916.35

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Solution

The fourth proportional to 1,540.49, 2,311.17 and 916.35 is: 1,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.49 : 2,311.17 = 916.35 : x
  2. Step 2: Convert to fraction form
    1,540.49/2,311.17 = 916.35/x
  3. Step 3: Cross multiply
    1,540.49x = 2,311.17 × 916.35
  4. Step 4: Simplify right side
    1,540.49x = 2,117,828.53
  5. Step 5: Solve for x
    x = 2,117,828.53/1,540.49
  6. Step 6: Final answer
    x = 1,374.78

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1.5x scale

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.