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Finding the Fourth Proportional to 13,122.56, 18,098.88 and 8,407.28

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Solution

The fourth proportional to 13,122.56, 18,098.88 and 8,407.28 is: 11,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.56 : 18,098.88 = 8,407.28 : x
  2. Step 2: Convert to fraction form
    13,122.56/18,098.88 = 8,407.28/x
  3. Step 3: Cross multiply
    13,122.56x = 18,098.88 × 8,407.28
  4. Step 4: Simplify right side
    13,122.56x = 152,162,261.35
  5. Step 5: Solve for x
    x = 152,162,261.35/13,122.56
  6. Step 6: Final answer
    x = 11,595.48

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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.