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Finding the Fourth Proportional to 5,665, 7,816.28 and 3,396.69

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Solution

The fourth proportional to 5,665, 7,816.28 and 3,396.69 is: 4,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665 : 7,816.28 = 3,396.69 : x
  2. Step 2: Convert to fraction form
    5,665/7,816.28 = 3,396.69/x
  3. Step 3: Cross multiply
    5,665x = 7,816.28 × 3,396.69
  4. Step 4: Simplify right side
    5,665x = 26,549,480.11
  5. Step 5: Solve for x
    x = 26,549,480.11/5,665
  6. Step 6: Final answer
    x = 4,686.58

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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.