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Finding the Fourth Proportional to 4,080, 5,630.40 and 2,217.04

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Solution

The fourth proportional to 4,080, 5,630.40 and 2,217.04 is: 3,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080 : 5,630.40 = 2,217.04 : x
  2. Step 2: Convert to fraction form
    4,080/5,630.40 = 2,217.04/x
  3. Step 3: Cross multiply
    4,080x = 5,630.40 × 2,217.04
  4. Step 4: Simplify right side
    4,080x = 12,482,822.02
  5. Step 5: Solve for x
    x = 12,482,822.02/4,080
  6. Step 6: Final answer
    x = 3,059.52

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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.