Home / 1,546.55-2,133.30-916.91

Finding the Fourth Proportional to 1,546.55, 2,133.30 and 916.91

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Solution

The fourth proportional to 1,546.55, 2,133.30 and 916.91 is: 1,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.55 : 2,133.30 = 916.91 : x
  2. Step 2: Convert to fraction form
    1,546.55/2,133.30 = 916.91/x
  3. Step 3: Cross multiply
    1,546.55x = 2,133.30 × 916.91
  4. Step 4: Simplify right side
    1,546.55x = 1,956,044.10
  5. Step 5: Solve for x
    x = 1,956,044.10/1,546.55
  6. Step 6: Final answer
    x = 1,264.78

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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.