Home / 1,931.66-2,897.49-545.14

Finding the Fourth Proportional to 1,931.66, 2,897.49 and 545.14

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Solution

The fourth proportional to 1,931.66, 2,897.49 and 545.14 is: 817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.66 : 2,897.49 = 545.14 : x
  2. Step 2: Convert to fraction form
    1,931.66/2,897.49 = 545.14/x
  3. Step 3: Cross multiply
    1,931.66x = 2,897.49 × 545.14
  4. Step 4: Simplify right side
    1,931.66x = 1,579,537.70
  5. Step 5: Solve for x
    x = 1,579,537.70/1,931.66
  6. Step 6: Final answer
    x = 817.71

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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.