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Finding the Fourth Proportional to 14,518, 21,779.79 and 4,657.42

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Solution

The fourth proportional to 14,518, 21,779.79 and 4,657.42 is: 6,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,518 : 21,779.79 = 4,657.42 : x
  2. Step 2: Convert to fraction form
    14,518/21,779.79 = 4,657.42/x
  3. Step 3: Cross multiply
    14,518x = 21,779.79 × 4,657.42
  4. Step 4: Simplify right side
    14,518x = 101,437,629.54
  5. Step 5: Solve for x
    x = 101,437,629.54/14,518
  6. Step 6: Final answer
    x = 6,987.03

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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.