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Finding the Fourth Proportional to 21,794.40, 32,672.16 and 8,640

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Solution

The fourth proportional to 21,794.40, 32,672.16 and 8,640 is: 12,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.40 : 32,672.16 = 8,640 : x
  2. Step 2: Convert to fraction form
    21,794.40/32,672.16 = 8,640/x
  3. Step 3: Cross multiply
    21,794.40x = 32,672.16 × 8,640
  4. Step 4: Simplify right side
    21,794.40x = 282,287,462.40
  5. Step 5: Solve for x
    x = 282,287,462.40/21,794.40
  6. Step 6: Final answer
    x = 12,952.29

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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.