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Finding the Fourth Proportional to 14,031.40, 19,363.31 and 7,743.77

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Solution

The fourth proportional to 14,031.40, 19,363.31 and 7,743.77 is: 10,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.40 : 19,363.31 = 7,743.77 : x
  2. Step 2: Convert to fraction form
    14,031.40/19,363.31 = 7,743.77/x
  3. Step 3: Cross multiply
    14,031.40x = 19,363.31 × 7,743.77
  4. Step 4: Simplify right side
    14,031.40x = 149,945,019.08
  5. Step 5: Solve for x
    x = 149,945,019.08/14,031.40
  6. Step 6: Final answer
    x = 10,686.39

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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.