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Finding the Fourth Proportional to 16,238.40, 24,368.40 and 9,218.40

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Solution

The fourth proportional to 16,238.40, 24,368.40 and 9,218.40 is: 13,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.40 : 24,368.40 = 9,218.40 : x
  2. Step 2: Convert to fraction form
    16,238.40/24,368.40 = 9,218.40/x
  3. Step 3: Cross multiply
    16,238.40x = 24,368.40 × 9,218.40
  4. Step 4: Simplify right side
    16,238.40x = 224,637,658.56
  5. Step 5: Solve for x
    x = 224,637,658.56/16,238.40
  6. Step 6: Final answer
    x = 13,833.73

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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.