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Finding the Fourth Proportional to 3,012.66, 4,518.52 and 821.55

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Solution

The fourth proportional to 3,012.66, 4,518.52 and 821.55 is: 1,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.66 : 4,518.52 = 821.55 : x
  2. Step 2: Convert to fraction form
    3,012.66/4,518.52 = 821.55/x
  3. Step 3: Cross multiply
    3,012.66x = 4,518.52 × 821.55
  4. Step 4: Simplify right side
    3,012.66x = 3,712,190.11
  5. Step 5: Solve for x
    x = 3,712,190.11/3,012.66
  6. Step 6: Final answer
    x = 1,232.20

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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.