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Finding the Fourth Proportional to 1,681.53, 2,519.12 and 951.63

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Solution

The fourth proportional to 1,681.53, 2,519.12 and 951.63 is: 1,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.53 : 2,519.12 = 951.63 : x
  2. Step 2: Convert to fraction form
    1,681.53/2,519.12 = 951.63/x
  3. Step 3: Cross multiply
    1,681.53x = 2,519.12 × 951.63
  4. Step 4: Simplify right side
    1,681.53x = 2,397,265.41
  5. Step 5: Solve for x
    x = 2,397,265.41/1,681.53
  6. Step 6: Final answer
    x = 1,425.65

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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.