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Finding the Fourth Proportional to 10,602.29, 14,619.20 and 8,682.12

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Solution

The fourth proportional to 10,602.29, 14,619.20 and 8,682.12 is: 11,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.29 : 14,619.20 = 8,682.12 : x
  2. Step 2: Convert to fraction form
    10,602.29/14,619.20 = 8,682.12/x
  3. Step 3: Cross multiply
    10,602.29x = 14,619.20 × 8,682.12
  4. Step 4: Simplify right side
    10,602.29x = 126,925,575.61
  5. Step 5: Solve for x
    x = 126,925,575.61/10,602.29
  6. Step 6: Final answer
    x = 11,971.53

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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.