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Finding the Fourth Proportional to 28,467, 42,700.50 and 7,690.50

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Solution

The fourth proportional to 28,467, 42,700.50 and 7,690.50 is: 11,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,467 : 42,700.50 = 7,690.50 : x
  2. Step 2: Convert to fraction form
    28,467/42,700.50 = 7,690.50/x
  3. Step 3: Cross multiply
    28,467x = 42,700.50 × 7,690.50
  4. Step 4: Simplify right side
    28,467x = 328,388,195.25
  5. Step 5: Solve for x
    x = 328,388,195.25/28,467
  6. Step 6: Final answer
    x = 11,535.75

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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.