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Finding the Fourth Proportional to 10,747.76, 14,851.15 and 8,407.67

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Solution

The fourth proportional to 10,747.76, 14,851.15 and 8,407.67 is: 11,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,747.76 : 14,851.15 = 8,407.67 : x
  2. Step 2: Convert to fraction form
    10,747.76/14,851.15 = 8,407.67/x
  3. Step 3: Cross multiply
    10,747.76x = 14,851.15 × 8,407.67
  4. Step 4: Simplify right side
    10,747.76x = 124,863,473.05
  5. Step 5: Solve for x
    x = 124,863,473.05/10,747.76
  6. Step 6: Final answer
    x = 11,617.63

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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.