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Finding the Fourth Proportional to 2,308.02, 3,462.50 and 847.14

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Solution

The fourth proportional to 2,308.02, 3,462.50 and 847.14 is: 1,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.02 : 3,462.50 = 847.14 : x
  2. Step 2: Convert to fraction form
    2,308.02/3,462.50 = 847.14/x
  3. Step 3: Cross multiply
    2,308.02x = 3,462.50 × 847.14
  4. Step 4: Simplify right side
    2,308.02x = 2,933,218.01
  5. Step 5: Solve for x
    x = 2,933,218.01/2,308.02
  6. Step 6: Final answer
    x = 1,270.88

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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.