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Finding the Fourth Proportional to 14,642.84, 21,965.73 and 4,112.88

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Solution

The fourth proportional to 14,642.84, 21,965.73 and 4,112.88 is: 6,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.84 : 21,965.73 = 4,112.88 : x
  2. Step 2: Convert to fraction form
    14,642.84/21,965.73 = 4,112.88/x
  3. Step 3: Cross multiply
    14,642.84x = 21,965.73 × 4,112.88
  4. Step 4: Simplify right side
    14,642.84x = 90,342,411.60
  5. Step 5: Solve for x
    x = 90,342,411.60/14,642.84
  6. Step 6: Final answer
    x = 6,169.74

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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.