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Finding the Fourth Proportional to 3,775.42, 5,210.24 and 2,074

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Solution

The fourth proportional to 3,775.42, 5,210.24 and 2,074 is: 2,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.42 : 5,210.24 = 2,074 : x
  2. Step 2: Convert to fraction form
    3,775.42/5,210.24 = 2,074/x
  3. Step 3: Cross multiply
    3,775.42x = 5,210.24 × 2,074
  4. Step 4: Simplify right side
    3,775.42x = 10,806,037.76
  5. Step 5: Solve for x
    x = 10,806,037.76/3,775.42
  6. Step 6: Final answer
    x = 2,862.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.