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Finding the Fourth Proportional to 6,594.76, 9,881.34 and 3,989.80

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Solution

The fourth proportional to 6,594.76, 9,881.34 and 3,989.80 is: 5,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.76 : 9,881.34 = 3,989.80 : x
  2. Step 2: Convert to fraction form
    6,594.76/9,881.34 = 3,989.80/x
  3. Step 3: Cross multiply
    6,594.76x = 9,881.34 × 3,989.80
  4. Step 4: Simplify right side
    6,594.76x = 39,424,570.33
  5. Step 5: Solve for x
    x = 39,424,570.33/6,594.76
  6. Step 6: Final answer
    x = 5,978.17

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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.