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Finding the Fourth Proportional to 3,856.56, 5,785.08 and 1,548

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Solution

The fourth proportional to 3,856.56, 5,785.08 and 1,548 is: 2,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.56 : 5,785.08 = 1,548 : x
  2. Step 2: Convert to fraction form
    3,856.56/5,785.08 = 1,548/x
  3. Step 3: Cross multiply
    3,856.56x = 5,785.08 × 1,548
  4. Step 4: Simplify right side
    3,856.56x = 8,955,303.84
  5. Step 5: Solve for x
    x = 8,955,303.84/3,856.56
  6. Step 6: Final answer
    x = 2,322.10

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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.