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Finding the Fourth Proportional to 5,720.32, 7,891.72 and 3,480.40

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Solution

The fourth proportional to 5,720.32, 7,891.72 and 3,480.40 is: 4,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.32 : 7,891.72 = 3,480.40 : x
  2. Step 2: Convert to fraction form
    5,720.32/7,891.72 = 3,480.40/x
  3. Step 3: Cross multiply
    5,720.32x = 7,891.72 × 3,480.40
  4. Step 4: Simplify right side
    5,720.32x = 27,466,342.29
  5. Step 5: Solve for x
    x = 27,466,342.29/5,720.32
  6. Step 6: Final answer
    x = 4,801.54

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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.