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Finding the Fourth Proportional to 21,703.88, 32,563.20 and 9,223.40

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Solution

The fourth proportional to 21,703.88, 32,563.20 and 9,223.40 is: 13,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703.88 : 32,563.20 = 9,223.40 : x
  2. Step 2: Convert to fraction form
    21,703.88/32,563.20 = 9,223.40/x
  3. Step 3: Cross multiply
    21,703.88x = 32,563.20 × 9,223.40
  4. Step 4: Simplify right side
    21,703.88x = 300,343,418.88
  5. Step 5: Solve for x
    x = 300,343,418.88/21,703.88
  6. Step 6: Final answer
    x = 13,838.24

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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.