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Finding the Fourth Proportional to 21,462.39, 32,195.40 and 5,880

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Solution

The fourth proportional to 21,462.39, 32,195.40 and 5,880 is: 8,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.39 : 32,195.40 = 5,880 : x
  2. Step 2: Convert to fraction form
    21,462.39/32,195.40 = 5,880/x
  3. Step 3: Cross multiply
    21,462.39x = 32,195.40 × 5,880
  4. Step 4: Simplify right side
    21,462.39x = 189,308,952
  5. Step 5: Solve for x
    x = 189,308,952/21,462.39
  6. Step 6: Final answer
    x = 8,820.50

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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.