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Finding the Fourth Proportional to 10,841.54, 14,971.29 and 8,717.42

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Solution

The fourth proportional to 10,841.54, 14,971.29 and 8,717.42 is: 12,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.54 : 14,971.29 = 8,717.42 : x
  2. Step 2: Convert to fraction form
    10,841.54/14,971.29 = 8,717.42/x
  3. Step 3: Cross multiply
    10,841.54x = 14,971.29 × 8,717.42
  4. Step 4: Simplify right side
    10,841.54x = 130,511,022.87
  5. Step 5: Solve for x
    x = 130,511,022.87/10,841.54
  6. Step 6: Final answer
    x = 12,038.05

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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.