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Finding the Fourth Proportional to 9,253.90, 12,771.39 and 5,899.78

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Solution

The fourth proportional to 9,253.90, 12,771.39 and 5,899.78 is: 8,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.90 : 12,771.39 = 5,899.78 : x
  2. Step 2: Convert to fraction form
    9,253.90/12,771.39 = 5,899.78/x
  3. Step 3: Cross multiply
    9,253.90x = 12,771.39 × 5,899.78
  4. Step 4: Simplify right side
    9,253.90x = 75,348,391.29
  5. Step 5: Solve for x
    x = 75,348,391.29/9,253.90
  6. Step 6: Final answer
    x = 8,142.34

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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.