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Finding the Fourth Proportional to 3,530.64, 5,260.92 and 3,142.92

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Solution

The fourth proportional to 3,530.64, 5,260.92 and 3,142.92 is: 4,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.64 : 5,260.92 = 3,142.92 : x
  2. Step 2: Convert to fraction form
    3,530.64/5,260.92 = 3,142.92/x
  3. Step 3: Cross multiply
    3,530.64x = 5,260.92 × 3,142.92
  4. Step 4: Simplify right side
    3,530.64x = 16,534,650.69
  5. Step 5: Solve for x
    x = 16,534,650.69/3,530.64
  6. Step 6: Final answer
    x = 4,683.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.