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Finding the Fourth Proportional to 1,374.24, 2,068.68 and 1,290

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Solution

The fourth proportional to 1,374.24, 2,068.68 and 1,290 is: 1,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.24 : 2,068.68 = 1,290 : x
  2. Step 2: Convert to fraction form
    1,374.24/2,068.68 = 1,290/x
  3. Step 3: Cross multiply
    1,374.24x = 2,068.68 × 1,290
  4. Step 4: Simplify right side
    1,374.24x = 2,668,597.20
  5. Step 5: Solve for x
    x = 2,668,597.20/1,374.24
  6. Step 6: Final answer
    x = 1,941.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.