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Finding the Fourth Proportional to 9,754.55, 13,461.19 and 5,278.21

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Solution

The fourth proportional to 9,754.55, 13,461.19 and 5,278.21 is: 7,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.55 : 13,461.19 = 5,278.21 : x
  2. Step 2: Convert to fraction form
    9,754.55/13,461.19 = 5,278.21/x
  3. Step 3: Cross multiply
    9,754.55x = 13,461.19 × 5,278.21
  4. Step 4: Simplify right side
    9,754.55x = 71,050,893.97
  5. Step 5: Solve for x
    x = 71,050,893.97/9,754.55
  6. Step 6: Final answer
    x = 7,283.87

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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.