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Finding the Fourth Proportional to 1,766.38, 2,437.42 and 980.28

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Solution

The fourth proportional to 1,766.38, 2,437.42 and 980.28 is: 1,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.38 : 2,437.42 = 980.28 : x
  2. Step 2: Convert to fraction form
    1,766.38/2,437.42 = 980.28/x
  3. Step 3: Cross multiply
    1,766.38x = 2,437.42 × 980.28
  4. Step 4: Simplify right side
    1,766.38x = 2,389,354.08
  5. Step 5: Solve for x
    x = 2,389,354.08/1,766.38
  6. Step 6: Final answer
    x = 1,352.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.