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Finding the Fourth Proportional to 28,823.38, 39,774.72 and 16,247.32

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Solution

The fourth proportional to 28,823.38, 39,774.72 and 16,247.32 is: 22,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,823.38 : 39,774.72 = 16,247.32 : x
  2. Step 2: Convert to fraction form
    28,823.38/39,774.72 = 16,247.32/x
  3. Step 3: Cross multiply
    28,823.38x = 39,774.72 × 16,247.32
  4. Step 4: Simplify right side
    28,823.38x = 646,232,603.75
  5. Step 5: Solve for x
    x = 646,232,603.75/28,823.38
  6. Step 6: Final answer
    x = 22,420.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.