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Finding the Fourth Proportional to 3,443.12, 5,164.74 and 977.95

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Solution

The fourth proportional to 3,443.12, 5,164.74 and 977.95 is: 1,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.12 : 5,164.74 = 977.95 : x
  2. Step 2: Convert to fraction form
    3,443.12/5,164.74 = 977.95/x
  3. Step 3: Cross multiply
    3,443.12x = 5,164.74 × 977.95
  4. Step 4: Simplify right side
    3,443.12x = 5,050,844.57
  5. Step 5: Solve for x
    x = 5,050,844.57/3,443.12
  6. Step 6: Final answer
    x = 1,466.94

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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.