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Finding the Fourth Proportional to 3,851.76, 5,780.16 and 2,987.76

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Solution

The fourth proportional to 3,851.76, 5,780.16 and 2,987.76 is: 4,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.76 : 5,780.16 = 2,987.76 : x
  2. Step 2: Convert to fraction form
    3,851.76/5,780.16 = 2,987.76/x
  3. Step 3: Cross multiply
    3,851.76x = 5,780.16 × 2,987.76
  4. Step 4: Simplify right side
    3,851.76x = 17,269,730.84
  5. Step 5: Solve for x
    x = 17,269,730.84/3,851.76
  6. Step 6: Final answer
    x = 4,483.59

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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.