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Finding the Fourth Proportional to 21,978.95, 32,972.47 and 7,188.65

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Solution

The fourth proportional to 21,978.95, 32,972.47 and 7,188.65 is: 10,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.95 : 32,972.47 = 7,188.65 : x
  2. Step 2: Convert to fraction form
    21,978.95/32,972.47 = 7,188.65/x
  3. Step 3: Cross multiply
    21,978.95x = 32,972.47 × 7,188.65
  4. Step 4: Simplify right side
    21,978.95x = 237,027,487.28
  5. Step 5: Solve for x
    x = 237,027,487.28/21,978.95
  6. Step 6: Final answer
    x = 10,784.30

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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.