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Finding the Fourth Proportional to 3,842.74, 5,303.04 and 2,270.98

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Solution

The fourth proportional to 3,842.74, 5,303.04 and 2,270.98 is: 3,133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.74 : 5,303.04 = 2,270.98 : x
  2. Step 2: Convert to fraction form
    3,842.74/5,303.04 = 2,270.98/x
  3. Step 3: Cross multiply
    3,842.74x = 5,303.04 × 2,270.98
  4. Step 4: Simplify right side
    3,842.74x = 12,043,097.78
  5. Step 5: Solve for x
    x = 12,043,097.78/3,842.74
  6. Step 6: Final answer
    x = 3,133.99

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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.