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Finding the Fourth Proportional to 19,871.50, 27,423.28 and 10,919.28

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Solution

The fourth proportional to 19,871.50, 27,423.28 and 10,919.28 is: 15,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.50 : 27,423.28 = 10,919.28 : x
  2. Step 2: Convert to fraction form
    19,871.50/27,423.28 = 10,919.28/x
  3. Step 3: Cross multiply
    19,871.50x = 27,423.28 × 10,919.28
  4. Step 4: Simplify right side
    19,871.50x = 299,442,472.84
  5. Step 5: Solve for x
    x = 299,442,472.84/19,871.50
  6. Step 6: Final answer
    x = 15,068.94

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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.