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Finding the Fourth Proportional to 2,684.48, 3,695.48 and 2,309.28

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Solution

The fourth proportional to 2,684.48, 3,695.48 and 2,309.28 is: 3,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.48 : 3,695.48 = 2,309.28 : x
  2. Step 2: Convert to fraction form
    2,684.48/3,695.48 = 2,309.28/x
  3. Step 3: Cross multiply
    2,684.48x = 3,695.48 × 2,309.28
  4. Step 4: Simplify right side
    2,684.48x = 8,533,898.05
  5. Step 5: Solve for x
    x = 8,533,898.05/2,684.48
  6. Step 6: Final answer
    x = 3,178.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.