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Finding the Fourth Proportional to 2,287.34, 3,430.74 and 901.70

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Solution

The fourth proportional to 2,287.34, 3,430.74 and 901.70 is: 1,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.34 : 3,430.74 = 901.70 : x
  2. Step 2: Convert to fraction form
    2,287.34/3,430.74 = 901.70/x
  3. Step 3: Cross multiply
    2,287.34x = 3,430.74 × 901.70
  4. Step 4: Simplify right side
    2,287.34x = 3,093,498.26
  5. Step 5: Solve for x
    x = 3,093,498.26/2,287.34
  6. Step 6: Final answer
    x = 1,352.44

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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.