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Finding the Fourth Proportional to 2,351.71, 3,525.79 and 1,427.05

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Solution

The fourth proportional to 2,351.71, 3,525.79 and 1,427.05 is: 2,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.71 : 3,525.79 = 1,427.05 : x
  2. Step 2: Convert to fraction form
    2,351.71/3,525.79 = 1,427.05/x
  3. Step 3: Cross multiply
    2,351.71x = 3,525.79 × 1,427.05
  4. Step 4: Simplify right side
    2,351.71x = 5,031,478.62
  5. Step 5: Solve for x
    x = 5,031,478.62/2,351.71
  6. Step 6: Final answer
    x = 2,139.50

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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.