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Finding the Fourth Proportional to 1,865.68, 2,572.10 and 1,409.44

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Solution

The fourth proportional to 1,865.68, 2,572.10 and 1,409.44 is: 1,943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.68 : 2,572.10 = 1,409.44 : x
  2. Step 2: Convert to fraction form
    1,865.68/2,572.10 = 1,409.44/x
  3. Step 3: Cross multiply
    1,865.68x = 2,572.10 × 1,409.44
  4. Step 4: Simplify right side
    1,865.68x = 3,625,220.62
  5. Step 5: Solve for x
    x = 3,625,220.62/1,865.68
  6. Step 6: Final answer
    x = 1,943.11

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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.