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Finding the Fourth Proportional to 1,875.90, 2,812.42 and 1,465.90

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Solution

The fourth proportional to 1,875.90, 2,812.42 and 1,465.90 is: 2,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.90 : 2,812.42 = 1,465.90 : x
  2. Step 2: Convert to fraction form
    1,875.90/2,812.42 = 1,465.90/x
  3. Step 3: Cross multiply
    1,875.90x = 2,812.42 × 1,465.90
  4. Step 4: Simplify right side
    1,875.90x = 4,122,726.48
  5. Step 5: Solve for x
    x = 4,122,726.48/1,875.90
  6. Step 6: Final answer
    x = 2,197.73

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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.