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Finding the Fourth Proportional to 10,210.62, 15,319 and 8,447.66

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Solution

The fourth proportional to 10,210.62, 15,319 and 8,447.66 is: 12,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.62 : 15,319 = 8,447.66 : x
  2. Step 2: Convert to fraction form
    10,210.62/15,319 = 8,447.66/x
  3. Step 3: Cross multiply
    10,210.62x = 15,319 × 8,447.66
  4. Step 4: Simplify right side
    10,210.62x = 129,409,703.54
  5. Step 5: Solve for x
    x = 129,409,703.54/10,210.62
  6. Step 6: Final answer
    x = 12,674.03

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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.