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Finding the Fourth Proportional to 1,762.38, 2,641.05 and 1,431.90

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Solution

The fourth proportional to 1,762.38, 2,641.05 and 1,431.90 is: 2,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.38 : 2,641.05 = 1,431.90 : x
  2. Step 2: Convert to fraction form
    1,762.38/2,641.05 = 1,431.90/x
  3. Step 3: Cross multiply
    1,762.38x = 2,641.05 × 1,431.90
  4. Step 4: Simplify right side
    1,762.38x = 3,781,719.50
  5. Step 5: Solve for x
    x = 3,781,719.50/1,762.38
  6. Step 6: Final answer
    x = 2,145.80

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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.