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Finding the Fourth Proportional to 12,478.74, 17,219.49 and 7,759.38

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Solution

The fourth proportional to 12,478.74, 17,219.49 and 7,759.38 is: 10,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.74 : 17,219.49 = 7,759.38 : x
  2. Step 2: Convert to fraction form
    12,478.74/17,219.49 = 7,759.38/x
  3. Step 3: Cross multiply
    12,478.74x = 17,219.49 × 7,759.38
  4. Step 4: Simplify right side
    12,478.74x = 133,612,566.32
  5. Step 5: Solve for x
    x = 133,612,566.32/12,478.74
  6. Step 6: Final answer
    x = 10,707.22

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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.