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Finding the Fourth Proportional to 3,803.52, 5,708.16 and 2,780.16

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Solution

The fourth proportional to 3,803.52, 5,708.16 and 2,780.16 is: 4,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.52 : 5,708.16 = 2,780.16 : x
  2. Step 2: Convert to fraction form
    3,803.52/5,708.16 = 2,780.16/x
  3. Step 3: Cross multiply
    3,803.52x = 5,708.16 × 2,780.16
  4. Step 4: Simplify right side
    3,803.52x = 15,869,598.11
  5. Step 5: Solve for x
    x = 15,869,598.11/3,803.52
  6. Step 6: Final answer
    x = 4,172.35

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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.