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Finding the Fourth Proportional to 5,978.09, 8,965.91 and 5,681.70

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Solution

The fourth proportional to 5,978.09, 8,965.91 and 5,681.70 is: 8,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.09 : 8,965.91 = 5,681.70 : x
  2. Step 2: Convert to fraction form
    5,978.09/8,965.91 = 5,681.70/x
  3. Step 3: Cross multiply
    5,978.09x = 8,965.91 × 5,681.70
  4. Step 4: Simplify right side
    5,978.09x = 50,941,625.05
  5. Step 5: Solve for x
    x = 50,941,625.05/5,978.09
  6. Step 6: Final answer
    x = 8,521.38

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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.