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Finding the Fourth Proportional to 1,641.64, 2,460.16 and 1,397.20

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Solution

The fourth proportional to 1,641.64, 2,460.16 and 1,397.20 is: 2,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.64 : 2,460.16 = 1,397.20 : x
  2. Step 2: Convert to fraction form
    1,641.64/2,460.16 = 1,397.20/x
  3. Step 3: Cross multiply
    1,641.64x = 2,460.16 × 1,397.20
  4. Step 4: Simplify right side
    1,641.64x = 3,437,335.55
  5. Step 5: Solve for x
    x = 3,437,335.55/1,641.64
  6. Step 6: Final answer
    x = 2,093.84

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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.