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Finding the Fourth Proportional to 5,839.54, 8,756.72 and 2,140.80

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Solution

The fourth proportional to 5,839.54, 8,756.72 and 2,140.80 is: 3,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.54 : 8,756.72 = 2,140.80 : x
  2. Step 2: Convert to fraction form
    5,839.54/8,756.72 = 2,140.80/x
  3. Step 3: Cross multiply
    5,839.54x = 8,756.72 × 2,140.80
  4. Step 4: Simplify right side
    5,839.54x = 18,746,386.18
  5. Step 5: Solve for x
    x = 18,746,386.18/5,839.54
  6. Step 6: Final answer
    x = 3,210.25

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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.