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Finding the Fourth Proportional to 21,390, 32,097.96 and 9,078

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Solution

The fourth proportional to 21,390, 32,097.96 and 9,078 is: 13,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,390 : 32,097.96 = 9,078 : x
  2. Step 2: Convert to fraction form
    21,390/32,097.96 = 9,078/x
  3. Step 3: Cross multiply
    21,390x = 32,097.96 × 9,078
  4. Step 4: Simplify right side
    21,390x = 291,385,280.88
  5. Step 5: Solve for x
    x = 291,385,280.88/21,390
  6. Step 6: Final answer
    x = 13,622.50

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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.