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Finding the Fourth Proportional to 19,871.40, 27,423.20 and 10,919.22

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Solution

The fourth proportional to 19,871.40, 27,423.20 and 10,919.22 is: 15,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.40 : 27,423.20 = 10,919.22 : x
  2. Step 2: Convert to fraction form
    19,871.40/27,423.20 = 10,919.22/x
  3. Step 3: Cross multiply
    19,871.40x = 27,423.20 × 10,919.22
  4. Step 4: Simplify right side
    19,871.40x = 299,439,953.90
  5. Step 5: Solve for x
    x = 299,439,953.90/19,871.40
  6. Step 6: Final answer
    x = 15,068.89

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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.