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Finding the Fourth Proportional to 14,220, 21,339.72 and 4,986

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Solution

The fourth proportional to 14,220, 21,339.72 and 4,986 is: 7,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220 : 21,339.72 = 4,986 : x
  2. Step 2: Convert to fraction form
    14,220/21,339.72 = 4,986/x
  3. Step 3: Cross multiply
    14,220x = 21,339.72 × 4,986
  4. Step 4: Simplify right side
    14,220x = 106,399,843.92
  5. Step 5: Solve for x
    x = 106,399,843.92/14,220
  6. Step 6: Final answer
    x = 7,482.41

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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.