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Finding the Fourth Proportional to 2,740.05, 3,780 and 2,425.64

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Solution

The fourth proportional to 2,740.05, 3,780 and 2,425.64 is: 3,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.05 : 3,780 = 2,425.64 : x
  2. Step 2: Convert to fraction form
    2,740.05/3,780 = 2,425.64/x
  3. Step 3: Cross multiply
    2,740.05x = 3,780 × 2,425.64
  4. Step 4: Simplify right side
    2,740.05x = 9,168,900.30
  5. Step 5: Solve for x
    x = 9,168,900.30/2,740.05
  6. Step 6: Final answer
    x = 3,346.25

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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.