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Finding the Fourth Proportional to 2,720.60, 4,072.80 and 1,624.40

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Solution

The fourth proportional to 2,720.60, 4,072.80 and 1,624.40 is: 2,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.60 : 4,072.80 = 1,624.40 : x
  2. Step 2: Convert to fraction form
    2,720.60/4,072.80 = 1,624.40/x
  3. Step 3: Cross multiply
    2,720.60x = 4,072.80 × 1,624.40
  4. Step 4: Simplify right side
    2,720.60x = 6,615,856.32
  5. Step 5: Solve for x
    x = 6,615,856.32/2,720.60
  6. Step 6: Final answer
    x = 2,431.76

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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.