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Finding the Fourth Proportional to 12,309.89, 18,468 and 3,545.48

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Solution

The fourth proportional to 12,309.89, 18,468 and 3,545.48 is: 5,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.89 : 18,468 = 3,545.48 : x
  2. Step 2: Convert to fraction form
    12,309.89/18,468 = 3,545.48/x
  3. Step 3: Cross multiply
    12,309.89x = 18,468 × 3,545.48
  4. Step 4: Simplify right side
    12,309.89x = 65,477,970.81
  5. Step 5: Solve for x
    x = 65,477,970.81/12,309.89
  6. Step 6: Final answer
    x = 5,319.14

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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.