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Finding the Fourth Proportional to 11,380.13, 15,710.14 and 8,822.13

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Solution

The fourth proportional to 11,380.13, 15,710.14 and 8,822.13 is: 12,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.13 : 15,710.14 = 8,822.13 : x
  2. Step 2: Convert to fraction form
    11,380.13/15,710.14 = 8,822.13/x
  3. Step 3: Cross multiply
    11,380.13x = 15,710.14 × 8,822.13
  4. Step 4: Simplify right side
    11,380.13x = 138,596,897.40
  5. Step 5: Solve for x
    x = 138,596,897.40/11,380.13
  6. Step 6: Final answer
    x = 12,178.85

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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.