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Finding the Fourth Proportional to 1,545.70, 2,134.38 and 987.16

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Solution

The fourth proportional to 1,545.70, 2,134.38 and 987.16 is: 1,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.70 : 2,134.38 = 987.16 : x
  2. Step 2: Convert to fraction form
    1,545.70/2,134.38 = 987.16/x
  3. Step 3: Cross multiply
    1,545.70x = 2,134.38 × 987.16
  4. Step 4: Simplify right side
    1,545.70x = 2,106,974.56
  5. Step 5: Solve for x
    x = 2,106,974.56/1,545.70
  6. Step 6: Final answer
    x = 1,363.12

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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.