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Finding the Fourth Proportional to 1,643.64, 2,461.14 and 1,122.42

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Solution

The fourth proportional to 1,643.64, 2,461.14 and 1,122.42 is: 1,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.64 : 2,461.14 = 1,122.42 : x
  2. Step 2: Convert to fraction form
    1,643.64/2,461.14 = 1,122.42/x
  3. Step 3: Cross multiply
    1,643.64x = 2,461.14 × 1,122.42
  4. Step 4: Simplify right side
    1,643.64x = 2,762,432.76
  5. Step 5: Solve for x
    x = 2,762,432.76/1,643.64
  6. Step 6: Final answer
    x = 1,680.68

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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.