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Finding the Fourth Proportional to 8,747, 13,117.40 and 2,823.66

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Solution

The fourth proportional to 8,747, 13,117.40 and 2,823.66 is: 4,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,747 : 13,117.40 = 2,823.66 : x
  2. Step 2: Convert to fraction form
    8,747/13,117.40 = 2,823.66/x
  3. Step 3: Cross multiply
    8,747x = 13,117.40 × 2,823.66
  4. Step 4: Simplify right side
    8,747x = 37,039,077.68
  5. Step 5: Solve for x
    x = 37,039,077.68/8,747
  6. Step 6: Final answer
    x = 4,234.49

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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.