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Finding the Fourth Proportional to 5,275.92, 7,913.66 and 1,380.24

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Solution

The fourth proportional to 5,275.92, 7,913.66 and 1,380.24 is: 2,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.92 : 7,913.66 = 1,380.24 : x
  2. Step 2: Convert to fraction form
    5,275.92/7,913.66 = 1,380.24/x
  3. Step 3: Cross multiply
    5,275.92x = 7,913.66 × 1,380.24
  4. Step 4: Simplify right side
    5,275.92x = 10,922,750.08
  5. Step 5: Solve for x
    x = 10,922,750.08/5,275.92
  6. Step 6: Final answer
    x = 2,070.30

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1.5x scale

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.