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Finding the Fourth Proportional to 6,990.68, 9,646.04 and 4,158.15

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Solution

The fourth proportional to 6,990.68, 9,646.04 and 4,158.15 is: 5,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.68 : 9,646.04 = 4,158.15 : x
  2. Step 2: Convert to fraction form
    6,990.68/9,646.04 = 4,158.15/x
  3. Step 3: Cross multiply
    6,990.68x = 9,646.04 × 4,158.15
  4. Step 4: Simplify right side
    6,990.68x = 40,109,660.44
  5. Step 5: Solve for x
    x = 40,109,660.44/6,990.68
  6. Step 6: Final answer
    x = 5,737.59

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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.