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Finding the Fourth Proportional to 5,378.24, 8,069.24 and 1,681.40

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Solution

The fourth proportional to 5,378.24, 8,069.24 and 1,681.40 is: 2,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.24 : 8,069.24 = 1,681.40 : x
  2. Step 2: Convert to fraction form
    5,378.24/8,069.24 = 1,681.40/x
  3. Step 3: Cross multiply
    5,378.24x = 8,069.24 × 1,681.40
  4. Step 4: Simplify right side
    5,378.24x = 13,567,620.14
  5. Step 5: Solve for x
    x = 13,567,620.14/5,378.24
  6. Step 6: Final answer
    x = 2,522.69

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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.