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Finding the Fourth Proportional to 12,368.20, 18,557 and 7,441.24

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Solution

The fourth proportional to 12,368.20, 18,557 and 7,441.24 is: 11,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.20 : 18,557 = 7,441.24 : x
  2. Step 2: Convert to fraction form
    12,368.20/18,557 = 7,441.24/x
  3. Step 3: Cross multiply
    12,368.20x = 18,557 × 7,441.24
  4. Step 4: Simplify right side
    12,368.20x = 138,087,090.68
  5. Step 5: Solve for x
    x = 138,087,090.68/12,368.20
  6. Step 6: Final answer
    x = 11,164.69

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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.