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Finding the Fourth Proportional to 5,986.76, 8,970.42 and 4,747.48

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Solution

The fourth proportional to 5,986.76, 8,970.42 and 4,747.48 is: 7,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.76 : 8,970.42 = 4,747.48 : x
  2. Step 2: Convert to fraction form
    5,986.76/8,970.42 = 4,747.48/x
  3. Step 3: Cross multiply
    5,986.76x = 8,970.42 × 4,747.48
  4. Step 4: Simplify right side
    5,986.76x = 42,586,889.54
  5. Step 5: Solve for x
    x = 42,586,889.54/5,986.76
  6. Step 6: Final answer
    x = 7,113.51

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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.