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Finding the Fourth Proportional to 13,602.40, 18,775.20 and 8,822.24

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Solution

The fourth proportional to 13,602.40, 18,775.20 and 8,822.24 is: 12,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.40 : 18,775.20 = 8,822.24 : x
  2. Step 2: Convert to fraction form
    13,602.40/18,775.20 = 8,822.24/x
  3. Step 3: Cross multiply
    13,602.40x = 18,775.20 × 8,822.24
  4. Step 4: Simplify right side
    13,602.40x = 165,639,320.45
  5. Step 5: Solve for x
    x = 165,639,320.45/13,602.40
  6. Step 6: Final answer
    x = 12,177.21

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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.