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Finding the Fourth Proportional to 10,856.66, 16,267.10 and 9,948.78

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Solution

The fourth proportional to 10,856.66, 16,267.10 and 9,948.78 is: 14,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.66 : 16,267.10 = 9,948.78 : x
  2. Step 2: Convert to fraction form
    10,856.66/16,267.10 = 9,948.78/x
  3. Step 3: Cross multiply
    10,856.66x = 16,267.10 × 9,948.78
  4. Step 4: Simplify right side
    10,856.66x = 161,837,749.39
  5. Step 5: Solve for x
    x = 161,837,749.39/10,856.66
  6. Step 6: Final answer
    x = 14,906.78

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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.