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Finding the Fourth Proportional to 3,987, 5,981.76 and 1,795.92

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Solution

The fourth proportional to 3,987, 5,981.76 and 1,795.92 is: 2,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987 : 5,981.76 = 1,795.92 : x
  2. Step 2: Convert to fraction form
    3,987/5,981.76 = 1,795.92/x
  3. Step 3: Cross multiply
    3,987x = 5,981.76 × 1,795.92
  4. Step 4: Simplify right side
    3,987x = 10,742,762.42
  5. Step 5: Solve for x
    x = 10,742,762.42/3,987
  6. Step 6: Final answer
    x = 2,694.45

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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.