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Finding the Fourth Proportional to 12,223.81, 18,323.40 and 4,825.40

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Solution

The fourth proportional to 12,223.81, 18,323.40 and 4,825.40 is: 7,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.81 : 18,323.40 = 4,825.40 : x
  2. Step 2: Convert to fraction form
    12,223.81/18,323.40 = 4,825.40/x
  3. Step 3: Cross multiply
    12,223.81x = 18,323.40 × 4,825.40
  4. Step 4: Simplify right side
    12,223.81x = 88,417,734.36
  5. Step 5: Solve for x
    x = 88,417,734.36/12,223.81
  6. Step 6: Final answer
    x = 7,233.24

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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.