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Finding the Fourth Proportional to 5,816.64, 8,031 and 3,581.40

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Solution

The fourth proportional to 5,816.64, 8,031 and 3,581.40 is: 4,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.64 : 8,031 = 3,581.40 : x
  2. Step 2: Convert to fraction form
    5,816.64/8,031 = 3,581.40/x
  3. Step 3: Cross multiply
    5,816.64x = 8,031 × 3,581.40
  4. Step 4: Simplify right side
    5,816.64x = 28,762,223.40
  5. Step 5: Solve for x
    x = 28,762,223.40/5,816.64
  6. Step 6: Final answer
    x = 4,944.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.