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Finding the Fourth Proportional to 8,254.56, 12,353.12 and 7,774.77

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Solution

The fourth proportional to 8,254.56, 12,353.12 and 7,774.77 is: 11,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.56 : 12,353.12 = 7,774.77 : x
  2. Step 2: Convert to fraction form
    8,254.56/12,353.12 = 7,774.77/x
  3. Step 3: Cross multiply
    8,254.56x = 12,353.12 × 7,774.77
  4. Step 4: Simplify right side
    8,254.56x = 96,042,666.78
  5. Step 5: Solve for x
    x = 96,042,666.78/8,254.56
  6. Step 6: Final answer
    x = 11,635.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.