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Finding the Fourth Proportional to 21,920.88, 32,904.72 and 9,447

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Solution

The fourth proportional to 21,920.88, 32,904.72 and 9,447 is: 14,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,920.88 : 32,904.72 = 9,447 : x
  2. Step 2: Convert to fraction form
    21,920.88/32,904.72 = 9,447/x
  3. Step 3: Cross multiply
    21,920.88x = 32,904.72 × 9,447
  4. Step 4: Simplify right side
    21,920.88x = 310,850,889.84
  5. Step 5: Solve for x
    x = 310,850,889.84/21,920.88
  6. Step 6: Final answer
    x = 14,180.58

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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.