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Finding the Fourth Proportional to 12,309.57, 18,468.81 and 5,642.87

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Solution

The fourth proportional to 12,309.57, 18,468.81 and 5,642.87 is: 8,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.57 : 18,468.81 = 5,642.87 : x
  2. Step 2: Convert to fraction form
    12,309.57/18,468.81 = 5,642.87/x
  3. Step 3: Cross multiply
    12,309.57x = 18,468.81 × 5,642.87
  4. Step 4: Simplify right side
    12,309.57x = 104,217,001.54
  5. Step 5: Solve for x
    x = 104,217,001.54/12,309.57
  6. Step 6: Final answer
    x = 8,466.34

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1.5x scale

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.