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Finding the Fourth Proportional to 5,985.70, 8,986.49 and 5,113.80

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Solution

The fourth proportional to 5,985.70, 8,986.49 and 5,113.80 is: 7,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.70 : 8,986.49 = 5,113.80 : x
  2. Step 2: Convert to fraction form
    5,985.70/8,986.49 = 5,113.80/x
  3. Step 3: Cross multiply
    5,985.70x = 8,986.49 × 5,113.80
  4. Step 4: Simplify right side
    5,985.70x = 45,955,112.56
  5. Step 5: Solve for x
    x = 45,955,112.56/5,985.70
  6. Step 6: Final answer
    x = 7,677.48

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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.