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Finding the Fourth Proportional to 9,808.78, 13,545.76 and 7,115.26

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Solution

The fourth proportional to 9,808.78, 13,545.76 and 7,115.26 is: 9,826.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.78 : 13,545.76 = 7,115.26 : x
  2. Step 2: Convert to fraction form
    9,808.78/13,545.76 = 7,115.26/x
  3. Step 3: Cross multiply
    9,808.78x = 13,545.76 × 7,115.26
  4. Step 4: Simplify right side
    9,808.78x = 96,381,604.30
  5. Step 5: Solve for x
    x = 96,381,604.30/9,808.78
  6. Step 6: Final answer
    x = 9,826.05

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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.