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Finding the Fourth Proportional to 1,680.76, 2,518.14 and 1,434.76

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Solution

The fourth proportional to 1,680.76, 2,518.14 and 1,434.76 is: 2,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.76 : 2,518.14 = 1,434.76 : x
  2. Step 2: Convert to fraction form
    1,680.76/2,518.14 = 1,434.76/x
  3. Step 3: Cross multiply
    1,680.76x = 2,518.14 × 1,434.76
  4. Step 4: Simplify right side
    1,680.76x = 3,612,926.55
  5. Step 5: Solve for x
    x = 3,612,926.55/1,680.76
  6. Step 6: Final answer
    x = 2,149.58

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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.