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Finding the Fourth Proportional to 2,309.01, 3,463.80 and 847.95

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Solution

The fourth proportional to 2,309.01, 3,463.80 and 847.95 is: 1,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.01 : 3,463.80 = 847.95 : x
  2. Step 2: Convert to fraction form
    2,309.01/3,463.80 = 847.95/x
  3. Step 3: Cross multiply
    2,309.01x = 3,463.80 × 847.95
  4. Step 4: Simplify right side
    2,309.01x = 2,937,129.21
  5. Step 5: Solve for x
    x = 2,937,129.21/2,309.01
  6. Step 6: Final answer
    x = 1,272.03

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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.