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Finding the Fourth Proportional to 1,502.60, 2,252.10 and 1,347.80

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Solution

The fourth proportional to 1,502.60, 2,252.10 and 1,347.80 is: 2,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.60 : 2,252.10 = 1,347.80 : x
  2. Step 2: Convert to fraction form
    1,502.60/2,252.10 = 1,347.80/x
  3. Step 3: Cross multiply
    1,502.60x = 2,252.10 × 1,347.80
  4. Step 4: Simplify right side
    1,502.60x = 3,035,380.38
  5. Step 5: Solve for x
    x = 3,035,380.38/1,502.60
  6. Step 6: Final answer
    x = 2,020.09

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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.