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Finding the Fourth Proportional to 9,761.77, 13,471.26 and 5,285.57

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Solution

The fourth proportional to 9,761.77, 13,471.26 and 5,285.57 is: 7,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.77 : 13,471.26 = 5,285.57 : x
  2. Step 2: Convert to fraction form
    9,761.77/13,471.26 = 5,285.57/x
  3. Step 3: Cross multiply
    9,761.77x = 13,471.26 × 5,285.57
  4. Step 4: Simplify right side
    9,761.77x = 71,203,287.72
  5. Step 5: Solve for x
    x = 71,203,287.72/9,761.77
  6. Step 6: Final answer
    x = 7,294.10

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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.