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Finding the Fourth Proportional to 16,586, 22,908.12 and 10,987.28

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Solution

The fourth proportional to 16,586, 22,908.12 and 10,987.28 is: 15,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586 : 22,908.12 = 10,987.28 : x
  2. Step 2: Convert to fraction form
    16,586/22,908.12 = 10,987.28/x
  3. Step 3: Cross multiply
    16,586x = 22,908.12 × 10,987.28
  4. Step 4: Simplify right side
    16,586x = 251,697,928.71
  5. Step 5: Solve for x
    x = 251,697,928.71/16,586
  6. Step 6: Final answer
    x = 15,175.32

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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.