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Finding the Fourth Proportional to 12,240, 18,303.93 and 9,122.13

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Solution

The fourth proportional to 12,240, 18,303.93 and 9,122.13 is: 13,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,240 : 18,303.93 = 9,122.13 : x
  2. Step 2: Convert to fraction form
    12,240/18,303.93 = 9,122.13/x
  3. Step 3: Cross multiply
    12,240x = 18,303.93 × 9,122.13
  4. Step 4: Simplify right side
    12,240x = 166,970,828.97
  5. Step 5: Solve for x
    x = 166,970,828.97/12,240
  6. Step 6: Final answer
    x = 13,641.41

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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.