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Finding the Fourth Proportional to 8,210.81, 11,298.11 and 7,981.18

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Solution

The fourth proportional to 8,210.81, 11,298.11 and 7,981.18 is: 10,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.81 : 11,298.11 = 7,981.18 : x
  2. Step 2: Convert to fraction form
    8,210.81/11,298.11 = 7,981.18/x
  3. Step 3: Cross multiply
    8,210.81x = 11,298.11 × 7,981.18
  4. Step 4: Simplify right side
    8,210.81x = 90,172,181.42
  5. Step 5: Solve for x
    x = 90,172,181.42/8,210.81
  6. Step 6: Final answer
    x = 10,982.13

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Similar ratio
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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.