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Finding the Fourth Proportional to 19,978.39, 29,950.30 and 7,657.75

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Solution

The fourth proportional to 19,978.39, 29,950.30 and 7,657.75 is: 11,480.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.39 : 29,950.30 = 7,657.75 : x
  2. Step 2: Convert to fraction form
    19,978.39/29,950.30 = 7,657.75/x
  3. Step 3: Cross multiply
    19,978.39x = 29,950.30 × 7,657.75
  4. Step 4: Simplify right side
    19,978.39x = 229,351,909.83
  5. Step 5: Solve for x
    x = 229,351,909.83/19,978.39
  6. Step 6: Final answer
    x = 11,480.00

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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.