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Finding the Fourth Proportional to 12,855.66, 17,737.95 and 7,822.50

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Solution

The fourth proportional to 12,855.66, 17,737.95 and 7,822.50 is: 10,793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.66 : 17,737.95 = 7,822.50 : x
  2. Step 2: Convert to fraction form
    12,855.66/17,737.95 = 7,822.50/x
  3. Step 3: Cross multiply
    12,855.66x = 17,737.95 × 7,822.50
  4. Step 4: Simplify right side
    12,855.66x = 138,755,113.88
  5. Step 5: Solve for x
    x = 138,755,113.88/12,855.66
  6. Step 6: Final answer
    x = 10,793.31

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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.