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Finding the Fourth Proportional to 5,718.16, 7,891.08 and 3,200.40

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Solution

The fourth proportional to 5,718.16, 7,891.08 and 3,200.40 is: 4,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.16 : 7,891.08 = 3,200.40 : x
  2. Step 2: Convert to fraction form
    5,718.16/7,891.08 = 3,200.40/x
  3. Step 3: Cross multiply
    5,718.16x = 7,891.08 × 3,200.40
  4. Step 4: Simplify right side
    5,718.16x = 25,254,612.43
  5. Step 5: Solve for x
    x = 25,254,612.43/5,718.16
  6. Step 6: Final answer
    x = 4,416.56

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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.