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Finding the Fourth Proportional to 8,248.84, 12,358.84 and 6,871

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Solution

The fourth proportional to 8,248.84, 12,358.84 and 6,871 is: 10,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248.84 : 12,358.84 = 6,871 : x
  2. Step 2: Convert to fraction form
    8,248.84/12,358.84 = 6,871/x
  3. Step 3: Cross multiply
    8,248.84x = 12,358.84 × 6,871
  4. Step 4: Simplify right side
    8,248.84x = 84,917,589.64
  5. Step 5: Solve for x
    x = 84,917,589.64/8,248.84
  6. Step 6: Final answer
    x = 10,294.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.