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Finding the Fourth Proportional to 12,826.96, 17,695.13 and 8,349.08

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Solution

The fourth proportional to 12,826.96, 17,695.13 and 8,349.08 is: 11,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826.96 : 17,695.13 = 8,349.08 : x
  2. Step 2: Convert to fraction form
    12,826.96/17,695.13 = 8,349.08/x
  3. Step 3: Cross multiply
    12,826.96x = 17,695.13 × 8,349.08
  4. Step 4: Simplify right side
    12,826.96x = 147,737,925.76
  5. Step 5: Solve for x
    x = 147,737,925.76/12,826.96
  6. Step 6: Final answer
    x = 11,517.77

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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.