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Finding the Fourth Proportional to 12,535.24, 18,780.02 and 5,859.40

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Solution

The fourth proportional to 12,535.24, 18,780.02 and 5,859.40 is: 8,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.24 : 18,780.02 = 5,859.40 : x
  2. Step 2: Convert to fraction form
    12,535.24/18,780.02 = 5,859.40/x
  3. Step 3: Cross multiply
    12,535.24x = 18,780.02 × 5,859.40
  4. Step 4: Simplify right side
    12,535.24x = 110,039,649.19
  5. Step 5: Solve for x
    x = 110,039,649.19/12,535.24
  6. Step 6: Final answer
    x = 8,778.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.