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Finding the Fourth Proportional to 10,981.64, 16,472.40 and 2,661.64

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Solution

The fourth proportional to 10,981.64, 16,472.40 and 2,661.64 is: 3,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.64 : 16,472.40 = 2,661.64 : x
  2. Step 2: Convert to fraction form
    10,981.64/16,472.40 = 2,661.64/x
  3. Step 3: Cross multiply
    10,981.64x = 16,472.40 × 2,661.64
  4. Step 4: Simplify right side
    10,981.64x = 43,843,598.74
  5. Step 5: Solve for x
    x = 43,843,598.74/10,981.64
  6. Step 6: Final answer
    x = 3,992.45

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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.