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Finding the Fourth Proportional to 4,389.80, 6,584.70 and 4,101.80

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Solution

The fourth proportional to 4,389.80, 6,584.70 and 4,101.80 is: 6,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,389.80 : 6,584.70 = 4,101.80 : x
  2. Step 2: Convert to fraction form
    4,389.80/6,584.70 = 4,101.80/x
  3. Step 3: Cross multiply
    4,389.80x = 6,584.70 × 4,101.80
  4. Step 4: Simplify right side
    4,389.80x = 27,009,122.46
  5. Step 5: Solve for x
    x = 27,009,122.46/4,389.80
  6. Step 6: Final answer
    x = 6,152.70

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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.