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Finding the Fourth Proportional to 21,920.64, 32,881.92 and 6,339.84

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Solution

The fourth proportional to 21,920.64, 32,881.92 and 6,339.84 is: 9,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,920.64 : 32,881.92 = 6,339.84 : x
  2. Step 2: Convert to fraction form
    21,920.64/32,881.92 = 6,339.84/x
  3. Step 3: Cross multiply
    21,920.64x = 32,881.92 × 6,339.84
  4. Step 4: Simplify right side
    21,920.64x = 208,466,111.69
  5. Step 5: Solve for x
    x = 208,466,111.69/21,920.64
  6. Step 6: Final answer
    x = 9,510.04

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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.