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Finding the Fourth Proportional to 11,822.16, 17,680.95 and 10,515.08

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Solution

The fourth proportional to 11,822.16, 17,680.95 and 10,515.08 is: 15,726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.16 : 17,680.95 = 10,515.08 : x
  2. Step 2: Convert to fraction form
    11,822.16/17,680.95 = 10,515.08/x
  3. Step 3: Cross multiply
    11,822.16x = 17,680.95 × 10,515.08
  4. Step 4: Simplify right side
    11,822.16x = 185,916,603.73
  5. Step 5: Solve for x
    x = 185,916,603.73/11,822.16
  6. Step 6: Final answer
    x = 15,726.11

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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.