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Finding the Fourth Proportional to 21,907.13, 32,865.51 and 7,117.61

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Solution

The fourth proportional to 21,907.13, 32,865.51 and 7,117.61 is: 10,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.13 : 32,865.51 = 7,117.61 : x
  2. Step 2: Convert to fraction form
    21,907.13/32,865.51 = 7,117.61/x
  3. Step 3: Cross multiply
    21,907.13x = 32,865.51 × 7,117.61
  4. Step 4: Simplify right side
    21,907.13x = 233,923,882.63
  5. Step 5: Solve for x
    x = 233,923,882.63/21,907.13
  6. Step 6: Final answer
    x = 10,677.98

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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.