Home / 1,931.16-2,896.61-614.89

Finding the Fourth Proportional to 1,931.16, 2,896.61 and 614.89

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Solution

The fourth proportional to 1,931.16, 2,896.61 and 614.89 is: 922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.16 : 2,896.61 = 614.89 : x
  2. Step 2: Convert to fraction form
    1,931.16/2,896.61 = 614.89/x
  3. Step 3: Cross multiply
    1,931.16x = 2,896.61 × 614.89
  4. Step 4: Simplify right side
    1,931.16x = 1,781,090.82
  5. Step 5: Solve for x
    x = 1,781,090.82/1,931.16
  6. Step 6: Final answer
    x = 922.29

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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.