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Finding the Fourth Proportional to 1,503.10, 2,254.65 and 1,411.90

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Solution

The fourth proportional to 1,503.10, 2,254.65 and 1,411.90 is: 2,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.10 : 2,254.65 = 1,411.90 : x
  2. Step 2: Convert to fraction form
    1,503.10/2,254.65 = 1,411.90/x
  3. Step 3: Cross multiply
    1,503.10x = 2,254.65 × 1,411.90
  4. Step 4: Simplify right side
    1,503.10x = 3,183,340.34
  5. Step 5: Solve for x
    x = 3,183,340.34/1,503.10
  6. Step 6: Final answer
    x = 2,117.85

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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.