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Finding the Fourth Proportional to 21,774, 32,661.16 and 5,358

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Solution

The fourth proportional to 21,774, 32,661.16 and 5,358 is: 8,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774 : 32,661.16 = 5,358 : x
  2. Step 2: Convert to fraction form
    21,774/32,661.16 = 5,358/x
  3. Step 3: Cross multiply
    21,774x = 32,661.16 × 5,358
  4. Step 4: Simplify right side
    21,774x = 174,998,495.28
  5. Step 5: Solve for x
    x = 174,998,495.28/21,774
  6. Step 6: Final answer
    x = 8,037.04

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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.