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Finding the Fourth Proportional to 12,153.75, 16,779.48 and 7,969.29

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Solution

The fourth proportional to 12,153.75, 16,779.48 and 7,969.29 is: 11,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.75 : 16,779.48 = 7,969.29 : x
  2. Step 2: Convert to fraction form
    12,153.75/16,779.48 = 7,969.29/x
  3. Step 3: Cross multiply
    12,153.75x = 16,779.48 × 7,969.29
  4. Step 4: Simplify right side
    12,153.75x = 133,720,542.17
  5. Step 5: Solve for x
    x = 133,720,542.17/12,153.75
  6. Step 6: Final answer
    x = 11,002.41

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1.5x scale

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.