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Finding the Fourth Proportional to 3,887, 5,830.70 and 3,690.16

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Solution

The fourth proportional to 3,887, 5,830.70 and 3,690.16 is: 5,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887 : 5,830.70 = 3,690.16 : x
  2. Step 2: Convert to fraction form
    3,887/5,830.70 = 3,690.16/x
  3. Step 3: Cross multiply
    3,887x = 5,830.70 × 3,690.16
  4. Step 4: Simplify right side
    3,887x = 21,516,215.91
  5. Step 5: Solve for x
    x = 21,516,215.91/3,887
  6. Step 6: Final answer
    x = 5,535.43

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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.