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Finding the Fourth Proportional to 3,478.49, 5,219.42 and 1,530.44

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Solution

The fourth proportional to 3,478.49, 5,219.42 and 1,530.44 is: 2,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.49 : 5,219.42 = 1,530.44 : x
  2. Step 2: Convert to fraction form
    3,478.49/5,219.42 = 1,530.44/x
  3. Step 3: Cross multiply
    3,478.49x = 5,219.42 × 1,530.44
  4. Step 4: Simplify right side
    3,478.49x = 7,988,009.14
  5. Step 5: Solve for x
    x = 7,988,009.14/3,478.49
  6. Step 6: Final answer
    x = 2,296.40

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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.