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Finding the Fourth Proportional to 21,987.94, 32,981.93 and 5,347.85

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Solution

The fourth proportional to 21,987.94, 32,981.93 and 5,347.85 is: 8,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.94 : 32,981.93 = 5,347.85 : x
  2. Step 2: Convert to fraction form
    21,987.94/32,981.93 = 5,347.85/x
  3. Step 3: Cross multiply
    21,987.94x = 32,981.93 × 5,347.85
  4. Step 4: Simplify right side
    21,987.94x = 176,382,482.18
  5. Step 5: Solve for x
    x = 176,382,482.18/21,987.94
  6. Step 6: Final answer
    x = 8,021.78

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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.