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Finding the Fourth Proportional to 14,643.78, 21,965.66 and 5,878.69

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Solution

The fourth proportional to 14,643.78, 21,965.66 and 5,878.69 is: 8,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.78 : 21,965.66 = 5,878.69 : x
  2. Step 2: Convert to fraction form
    14,643.78/21,965.66 = 5,878.69/x
  3. Step 3: Cross multiply
    14,643.78x = 21,965.66 × 5,878.69
  4. Step 4: Simplify right side
    14,643.78x = 129,129,243.52
  5. Step 5: Solve for x
    x = 129,129,243.52/14,643.78
  6. Step 6: Final answer
    x = 8,818.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.