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Finding the Fourth Proportional to 3,453.47, 5,180.19 and 856.40

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Solution

The fourth proportional to 3,453.47, 5,180.19 and 856.40 is: 1,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.47 : 5,180.19 = 856.40 : x
  2. Step 2: Convert to fraction form
    3,453.47/5,180.19 = 856.40/x
  3. Step 3: Cross multiply
    3,453.47x = 5,180.19 × 856.40
  4. Step 4: Simplify right side
    3,453.47x = 4,436,337.35
  5. Step 5: Solve for x
    x = 4,436,337.35/3,453.47
  6. Step 6: Final answer
    x = 1,284.60

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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.