Home / 1,564.28-2,352.05-1,442.37

Finding the Fourth Proportional to 1,564.28, 2,352.05 and 1,442.37

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Solution

The fourth proportional to 1,564.28, 2,352.05 and 1,442.37 is: 2,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.28 : 2,352.05 = 1,442.37 : x
  2. Step 2: Convert to fraction form
    1,564.28/2,352.05 = 1,442.37/x
  3. Step 3: Cross multiply
    1,564.28x = 2,352.05 × 1,442.37
  4. Step 4: Simplify right side
    1,564.28x = 3,392,528.36
  5. Step 5: Solve for x
    x = 3,392,528.36/1,564.28
  6. Step 6: Final answer
    x = 2,168.75

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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.