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Finding the Fourth Proportional to 1,657.40, 2,487.70 and 1,414.20

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Solution

The fourth proportional to 1,657.40, 2,487.70 and 1,414.20 is: 2,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.40 : 2,487.70 = 1,414.20 : x
  2. Step 2: Convert to fraction form
    1,657.40/2,487.70 = 1,414.20/x
  3. Step 3: Cross multiply
    1,657.40x = 2,487.70 × 1,414.20
  4. Step 4: Simplify right side
    1,657.40x = 3,518,105.34
  5. Step 5: Solve for x
    x = 3,518,105.34/1,657.40
  6. Step 6: Final answer
    x = 2,122.67

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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.