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Finding the Fourth Proportional to 3,775.95, 5,658.15 and 2,538.78

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Solution

The fourth proportional to 3,775.95, 5,658.15 and 2,538.78 is: 3,804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.95 : 5,658.15 = 2,538.78 : x
  2. Step 2: Convert to fraction form
    3,775.95/5,658.15 = 2,538.78/x
  3. Step 3: Cross multiply
    3,775.95x = 5,658.15 × 2,538.78
  4. Step 4: Simplify right side
    3,775.95x = 14,364,798.06
  5. Step 5: Solve for x
    x = 14,364,798.06/3,775.95
  6. Step 6: Final answer
    x = 3,804.29

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1.5x scale

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.