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Finding the Fourth Proportional to 21,620.94, 32,420.34 and 9,924

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Solution

The fourth proportional to 21,620.94, 32,420.34 and 9,924 is: 14,880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,620.94 : 32,420.34 = 9,924 : x
  2. Step 2: Convert to fraction form
    21,620.94/32,420.34 = 9,924/x
  3. Step 3: Cross multiply
    21,620.94x = 32,420.34 × 9,924
  4. Step 4: Simplify right side
    21,620.94x = 321,739,454.16
  5. Step 5: Solve for x
    x = 321,739,454.16/21,620.94
  6. Step 6: Final answer
    x = 14,880.92

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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.