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Finding the Fourth Proportional to 1,887.20, 2,825.20 and 1,402.40

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Solution

The fourth proportional to 1,887.20, 2,825.20 and 1,402.40 is: 2,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.20 : 2,825.20 = 1,402.40 : x
  2. Step 2: Convert to fraction form
    1,887.20/2,825.20 = 1,402.40/x
  3. Step 3: Cross multiply
    1,887.20x = 2,825.20 × 1,402.40
  4. Step 4: Simplify right side
    1,887.20x = 3,962,060.48
  5. Step 5: Solve for x
    x = 3,962,060.48/1,887.20
  6. Step 6: Final answer
    x = 2,099.44

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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.