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Finding the Fourth Proportional to 3,891.92, 5,837.76 and 970.16

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Solution

The fourth proportional to 3,891.92, 5,837.76 and 970.16 is: 1,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.92 : 5,837.76 = 970.16 : x
  2. Step 2: Convert to fraction form
    3,891.92/5,837.76 = 970.16/x
  3. Step 3: Cross multiply
    3,891.92x = 5,837.76 × 970.16
  4. Step 4: Simplify right side
    3,891.92x = 5,663,532.05
  5. Step 5: Solve for x
    x = 5,663,532.05/3,891.92
  6. Step 6: Final answer
    x = 1,455.20

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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.