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Finding the Fourth Proportional to 1,677.80, 2,515.10 and 1,307.40

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Solution

The fourth proportional to 1,677.80, 2,515.10 and 1,307.40 is: 1,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.80 : 2,515.10 = 1,307.40 : x
  2. Step 2: Convert to fraction form
    1,677.80/2,515.10 = 1,307.40/x
  3. Step 3: Cross multiply
    1,677.80x = 2,515.10 × 1,307.40
  4. Step 4: Simplify right side
    1,677.80x = 3,288,241.74
  5. Step 5: Solve for x
    x = 3,288,241.74/1,677.80
  6. Step 6: Final answer
    x = 1,959.85

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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.