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Finding the Fourth Proportional to 3,856.93, 5,780.74 and 1,774.08

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Solution

The fourth proportional to 3,856.93, 5,780.74 and 1,774.08 is: 2,658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.93 : 5,780.74 = 1,774.08 : x
  2. Step 2: Convert to fraction form
    3,856.93/5,780.74 = 1,774.08/x
  3. Step 3: Cross multiply
    3,856.93x = 5,780.74 × 1,774.08
  4. Step 4: Simplify right side
    3,856.93x = 10,255,482.84
  5. Step 5: Solve for x
    x = 10,255,482.84/3,856.93
  6. Step 6: Final answer
    x = 2,658.98

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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.