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Finding the Fourth Proportional to 4,976.78, 7,448.76 and 2,752.19

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Solution

The fourth proportional to 4,976.78, 7,448.76 and 2,752.19 is: 4,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.78 : 7,448.76 = 2,752.19 : x
  2. Step 2: Convert to fraction form
    4,976.78/7,448.76 = 2,752.19/x
  3. Step 3: Cross multiply
    4,976.78x = 7,448.76 × 2,752.19
  4. Step 4: Simplify right side
    4,976.78x = 20,500,421.41
  5. Step 5: Solve for x
    x = 20,500,421.41/4,976.78
  6. Step 6: Final answer
    x = 4,119.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.