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Finding the Fourth Proportional to 14,031.78, 19,363.69 and 7,744.02

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Solution

The fourth proportional to 14,031.78, 19,363.69 and 7,744.02 is: 10,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.78 : 19,363.69 = 7,744.02 : x
  2. Step 2: Convert to fraction form
    14,031.78/19,363.69 = 7,744.02/x
  3. Step 3: Cross multiply
    14,031.78x = 19,363.69 × 7,744.02
  4. Step 4: Simplify right side
    14,031.78x = 149,952,802.63
  5. Step 5: Solve for x
    x = 149,952,802.63/14,031.78
  6. Step 6: Final answer
    x = 10,686.66

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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.