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Finding the Fourth Proportional to 3,460.52, 5,190.68 and 1,512.74

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Solution

The fourth proportional to 3,460.52, 5,190.68 and 1,512.74 is: 2,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.52 : 5,190.68 = 1,512.74 : x
  2. Step 2: Convert to fraction form
    3,460.52/5,190.68 = 1,512.74/x
  3. Step 3: Cross multiply
    3,460.52x = 5,190.68 × 1,512.74
  4. Step 4: Simplify right side
    3,460.52x = 7,852,149.26
  5. Step 5: Solve for x
    x = 7,852,149.26/3,460.52
  6. Step 6: Final answer
    x = 2,269.07

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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.