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Finding the Fourth Proportional to 21,422.88, 32,130 and 5,838.48

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Solution

The fourth proportional to 21,422.88, 32,130 and 5,838.48 is: 8,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.88 : 32,130 = 5,838.48 : x
  2. Step 2: Convert to fraction form
    21,422.88/32,130 = 5,838.48/x
  3. Step 3: Cross multiply
    21,422.88x = 32,130 × 5,838.48
  4. Step 4: Simplify right side
    21,422.88x = 187,590,362.40
  5. Step 5: Solve for x
    x = 187,590,362.40/21,422.88
  6. Step 6: Final answer
    x = 8,756.54

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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.