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Finding the Fourth Proportional to 3,856.40, 5,320.40 and 2,530.86

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Solution

The fourth proportional to 3,856.40, 5,320.40 and 2,530.86 is: 3,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.40 : 5,320.40 = 2,530.86 : x
  2. Step 2: Convert to fraction form
    3,856.40/5,320.40 = 2,530.86/x
  3. Step 3: Cross multiply
    3,856.40x = 5,320.40 × 2,530.86
  4. Step 4: Simplify right side
    3,856.40x = 13,465,187.54
  5. Step 5: Solve for x
    x = 13,465,187.54/3,856.40
  6. Step 6: Final answer
    x = 3,491.65

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1.5x scale

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.