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Finding the Fourth Proportional to 12,218.78, 18,328.14 and 2,984.78

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Solution

The fourth proportional to 12,218.78, 18,328.14 and 2,984.78 is: 4,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.78 : 18,328.14 = 2,984.78 : x
  2. Step 2: Convert to fraction form
    12,218.78/18,328.14 = 2,984.78/x
  3. Step 3: Cross multiply
    12,218.78x = 18,328.14 × 2,984.78
  4. Step 4: Simplify right side
    12,218.78x = 54,705,465.71
  5. Step 5: Solve for x
    x = 54,705,465.71/12,218.78
  6. Step 6: Final answer
    x = 4,477.16

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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.