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Finding the Fourth Proportional to 7,470.94, 10,306.43 and 4,819.20

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Solution

The fourth proportional to 7,470.94, 10,306.43 and 4,819.20 is: 6,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.94 : 10,306.43 = 4,819.20 : x
  2. Step 2: Convert to fraction form
    7,470.94/10,306.43 = 4,819.20/x
  3. Step 3: Cross multiply
    7,470.94x = 10,306.43 × 4,819.20
  4. Step 4: Simplify right side
    7,470.94x = 49,668,753.48
  5. Step 5: Solve for x
    x = 49,668,753.48/7,470.94
  6. Step 6: Final answer
    x = 6,648.26

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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.