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Finding the Fourth Proportional to 10,963.76, 16,416.47 and 8,776.76

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Solution

The fourth proportional to 10,963.76, 16,416.47 and 8,776.76 is: 13,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.76 : 16,416.47 = 8,776.76 : x
  2. Step 2: Convert to fraction form
    10,963.76/16,416.47 = 8,776.76/x
  3. Step 3: Cross multiply
    10,963.76x = 16,416.47 × 8,776.76
  4. Step 4: Simplify right side
    10,963.76x = 144,083,357.10
  5. Step 5: Solve for x
    x = 144,083,357.10/10,963.76
  6. Step 6: Final answer
    x = 13,141.79

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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.