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Finding the Fourth Proportional to 4,911.76, 6,778.38 and 2,815.48

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Solution

The fourth proportional to 4,911.76, 6,778.38 and 2,815.48 is: 3,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.76 : 6,778.38 = 2,815.48 : x
  2. Step 2: Convert to fraction form
    4,911.76/6,778.38 = 2,815.48/x
  3. Step 3: Cross multiply
    4,911.76x = 6,778.38 × 2,815.48
  4. Step 4: Simplify right side
    4,911.76x = 19,084,393.32
  5. Step 5: Solve for x
    x = 19,084,393.32/4,911.76
  6. Step 6: Final answer
    x = 3,885.45

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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.