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Finding the Fourth Proportional to 5,307.77, 7,967.03 and 2,189.64

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Solution

The fourth proportional to 5,307.77, 7,967.03 and 2,189.64 is: 3,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.77 : 7,967.03 = 2,189.64 : x
  2. Step 2: Convert to fraction form
    5,307.77/7,967.03 = 2,189.64/x
  3. Step 3: Cross multiply
    5,307.77x = 7,967.03 × 2,189.64
  4. Step 4: Simplify right side
    5,307.77x = 17,444,916.62
  5. Step 5: Solve for x
    x = 17,444,916.62/5,307.77
  6. Step 6: Final answer
    x = 3,286.68

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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.