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Finding the Fourth Proportional to 5,311.61, 7,967.42 and 2,389.13

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Solution

The fourth proportional to 5,311.61, 7,967.42 and 2,389.13 is: 3,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.61 : 7,967.42 = 2,389.13 : x
  2. Step 2: Convert to fraction form
    5,311.61/7,967.42 = 2,389.13/x
  3. Step 3: Cross multiply
    5,311.61x = 7,967.42 × 2,389.13
  4. Step 4: Simplify right side
    5,311.61x = 19,035,190.20
  5. Step 5: Solve for x
    x = 19,035,190.20/5,311.61
  6. Step 6: Final answer
    x = 3,583.70

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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.