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Finding the Fourth Proportional to 9,385.12, 12,959.12 and 6,029.60

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Solution

The fourth proportional to 9,385.12, 12,959.12 and 6,029.60 is: 8,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.12 : 12,959.12 = 6,029.60 : x
  2. Step 2: Convert to fraction form
    9,385.12/12,959.12 = 6,029.60/x
  3. Step 3: Cross multiply
    9,385.12x = 12,959.12 × 6,029.60
  4. Step 4: Simplify right side
    9,385.12x = 78,138,309.95
  5. Step 5: Solve for x
    x = 78,138,309.95/9,385.12
  6. Step 6: Final answer
    x = 8,325.77

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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.