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Finding the Fourth Proportional to 13,442.76, 20,164.14 and 4,208.76

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Solution

The fourth proportional to 13,442.76, 20,164.14 and 4,208.76 is: 6,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.76 : 20,164.14 = 4,208.76 : x
  2. Step 2: Convert to fraction form
    13,442.76/20,164.14 = 4,208.76/x
  3. Step 3: Cross multiply
    13,442.76x = 20,164.14 × 4,208.76
  4. Step 4: Simplify right side
    13,442.76x = 84,866,025.87
  5. Step 5: Solve for x
    x = 84,866,025.87/13,442.76
  6. Step 6: Final answer
    x = 6,313.14

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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.