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Finding the Fourth Proportional to 5,687.64, 8,530.32 and 1,738.20

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Solution

The fourth proportional to 5,687.64, 8,530.32 and 1,738.20 is: 2,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.64 : 8,530.32 = 1,738.20 : x
  2. Step 2: Convert to fraction form
    5,687.64/8,530.32 = 1,738.20/x
  3. Step 3: Cross multiply
    5,687.64x = 8,530.32 × 1,738.20
  4. Step 4: Simplify right side
    5,687.64x = 14,827,402.22
  5. Step 5: Solve for x
    x = 14,827,402.22/5,687.64
  6. Step 6: Final answer
    x = 2,606.95

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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.