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Finding the Fourth Proportional to 12,214.56, 18,323.06 and 5,642.63

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Solution

The fourth proportional to 12,214.56, 18,323.06 and 5,642.63 is: 8,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.56 : 18,323.06 = 5,642.63 : x
  2. Step 2: Convert to fraction form
    12,214.56/18,323.06 = 5,642.63/x
  3. Step 3: Cross multiply
    12,214.56x = 18,323.06 × 5,642.63
  4. Step 4: Simplify right side
    12,214.56x = 103,390,248.05
  5. Step 5: Solve for x
    x = 103,390,248.05/12,214.56
  6. Step 6: Final answer
    x = 8,464.51

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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.