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Finding the Fourth Proportional to 3,477.76, 5,215.84 and 1,012

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Solution

The fourth proportional to 3,477.76, 5,215.84 and 1,012 is: 1,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.76 : 5,215.84 = 1,012 : x
  2. Step 2: Convert to fraction form
    3,477.76/5,215.84 = 1,012/x
  3. Step 3: Cross multiply
    3,477.76x = 5,215.84 × 1,012
  4. Step 4: Simplify right side
    3,477.76x = 5,278,430.08
  5. Step 5: Solve for x
    x = 5,278,430.08/3,477.76
  6. Step 6: Final answer
    x = 1,517.77

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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.