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Finding the Fourth Proportional to 28,588.50, 42,885.72 and 7,812

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Solution

The fourth proportional to 28,588.50, 42,885.72 and 7,812 is: 11,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,588.50 : 42,885.72 = 7,812 : x
  2. Step 2: Convert to fraction form
    28,588.50/42,885.72 = 7,812/x
  3. Step 3: Cross multiply
    28,588.50x = 42,885.72 × 7,812
  4. Step 4: Simplify right side
    28,588.50x = 335,023,244.64
  5. Step 5: Solve for x
    x = 335,023,244.64/28,588.50
  6. Step 6: Final answer
    x = 11,718.81

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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.