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Finding the Fourth Proportional to 1,651.82, 2,281.12 and 1,414.40

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Solution

The fourth proportional to 1,651.82, 2,281.12 and 1,414.40 is: 1,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.82 : 2,281.12 = 1,414.40 : x
  2. Step 2: Convert to fraction form
    1,651.82/2,281.12 = 1,414.40/x
  3. Step 3: Cross multiply
    1,651.82x = 2,281.12 × 1,414.40
  4. Step 4: Simplify right side
    1,651.82x = 3,226,416.13
  5. Step 5: Solve for x
    x = 3,226,416.13/1,651.82
  6. Step 6: Final answer
    x = 1,953.25

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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.