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Finding the Fourth Proportional to 7,108.38, 9,808.38 and 4,124.16

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Solution

The fourth proportional to 7,108.38, 9,808.38 and 4,124.16 is: 5,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.38 : 9,808.38 = 4,124.16 : x
  2. Step 2: Convert to fraction form
    7,108.38/9,808.38 = 4,124.16/x
  3. Step 3: Cross multiply
    7,108.38x = 9,808.38 × 4,124.16
  4. Step 4: Simplify right side
    7,108.38x = 40,451,328.46
  5. Step 5: Solve for x
    x = 40,451,328.46/7,108.38
  6. Step 6: Final answer
    x = 5,690.65

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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.