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Finding the Fourth Proportional to 7,309.48, 10,964.64 and 2,379.55

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Solution

The fourth proportional to 7,309.48, 10,964.64 and 2,379.55 is: 3,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.48 : 10,964.64 = 2,379.55 : x
  2. Step 2: Convert to fraction form
    7,309.48/10,964.64 = 2,379.55/x
  3. Step 3: Cross multiply
    7,309.48x = 10,964.64 × 2,379.55
  4. Step 4: Simplify right side
    7,309.48x = 26,090,909.11
  5. Step 5: Solve for x
    x = 26,090,909.11/7,309.48
  6. Step 6: Final answer
    x = 3,569.46

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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.