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Finding the Fourth Proportional to 3,870.80, 5,802.60 and 2,700.80

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Solution

The fourth proportional to 3,870.80, 5,802.60 and 2,700.80 is: 4,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.80 : 5,802.60 = 2,700.80 : x
  2. Step 2: Convert to fraction form
    3,870.80/5,802.60 = 2,700.80/x
  3. Step 3: Cross multiply
    3,870.80x = 5,802.60 × 2,700.80
  4. Step 4: Simplify right side
    3,870.80x = 15,671,662.08
  5. Step 5: Solve for x
    x = 15,671,662.08/3,870.80
  6. Step 6: Final answer
    x = 4,048.69

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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.