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Finding the Fourth Proportional to 18,870.66, 28,311.90 and 7,782.57

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Solution

The fourth proportional to 18,870.66, 28,311.90 and 7,782.57 is: 11,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,870.66 : 28,311.90 = 7,782.57 : x
  2. Step 2: Convert to fraction form
    18,870.66/28,311.90 = 7,782.57/x
  3. Step 3: Cross multiply
    18,870.66x = 28,311.90 × 7,782.57
  4. Step 4: Simplify right side
    18,870.66x = 220,339,343.58
  5. Step 5: Solve for x
    x = 220,339,343.58/18,870.66
  6. Step 6: Final answer
    x = 11,676.29

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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.