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Finding the Fourth Proportional to 5,689.61, 7,850.30 and 3,451.42

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Solution

The fourth proportional to 5,689.61, 7,850.30 and 3,451.42 is: 4,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.61 : 7,850.30 = 3,451.42 : x
  2. Step 2: Convert to fraction form
    5,689.61/7,850.30 = 3,451.42/x
  3. Step 3: Cross multiply
    5,689.61x = 7,850.30 × 3,451.42
  4. Step 4: Simplify right side
    5,689.61x = 27,094,674.98
  5. Step 5: Solve for x
    x = 27,094,674.98/5,689.61
  6. Step 6: Final answer
    x = 4,762.13

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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.