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Finding the Fourth Proportional to 14,031.76, 19,363.71 and 7,744

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Solution

The fourth proportional to 14,031.76, 19,363.71 and 7,744 is: 10,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.76 : 19,363.71 = 7,744 : x
  2. Step 2: Convert to fraction form
    14,031.76/19,363.71 = 7,744/x
  3. Step 3: Cross multiply
    14,031.76x = 19,363.71 × 7,744
  4. Step 4: Simplify right side
    14,031.76x = 149,952,570.24
  5. Step 5: Solve for x
    x = 149,952,570.24/14,031.76
  6. Step 6: Final answer
    x = 10,686.65

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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.