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Finding the Fourth Proportional to 21,780, 32,670.16 and 5,364

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Solution

The fourth proportional to 21,780, 32,670.16 and 5,364 is: 8,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780 : 32,670.16 = 5,364 : x
  2. Step 2: Convert to fraction form
    21,780/32,670.16 = 5,364/x
  3. Step 3: Cross multiply
    21,780x = 32,670.16 × 5,364
  4. Step 4: Simplify right side
    21,780x = 175,242,738.24
  5. Step 5: Solve for x
    x = 175,242,738.24/21,780
  6. Step 6: Final answer
    x = 8,046.04

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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.