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Finding the Fourth Proportional to 7,274, 10,039.08 and 4,478.48

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Solution

The fourth proportional to 7,274, 10,039.08 and 4,478.48 is: 6,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274 : 10,039.08 = 4,478.48 : x
  2. Step 2: Convert to fraction form
    7,274/10,039.08 = 4,478.48/x
  3. Step 3: Cross multiply
    7,274x = 10,039.08 × 4,478.48
  4. Step 4: Simplify right side
    7,274x = 44,959,819.00
  5. Step 5: Solve for x
    x = 44,959,819.00/7,274
  6. Step 6: Final answer
    x = 6,180.89

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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.