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Finding the Fourth Proportional to 3,473.93, 5,211.12 and 1,284.20

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Solution

The fourth proportional to 3,473.93, 5,211.12 and 1,284.20 is: 1,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.93 : 5,211.12 = 1,284.20 : x
  2. Step 2: Convert to fraction form
    3,473.93/5,211.12 = 1,284.20/x
  3. Step 3: Cross multiply
    3,473.93x = 5,211.12 × 1,284.20
  4. Step 4: Simplify right side
    3,473.93x = 6,692,094.25
  5. Step 5: Solve for x
    x = 6,692,094.25/3,473.93
  6. Step 6: Final answer
    x = 1,926.38

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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.