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Finding the Fourth Proportional to 28,588.40, 42,882.60 and 7,811.90

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Solution

The fourth proportional to 28,588.40, 42,882.60 and 7,811.90 is: 11,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,588.40 : 42,882.60 = 7,811.90 : x
  2. Step 2: Convert to fraction form
    28,588.40/42,882.60 = 7,811.90/x
  3. Step 3: Cross multiply
    28,588.40x = 42,882.60 × 7,811.90
  4. Step 4: Simplify right side
    28,588.40x = 334,994,582.94
  5. Step 5: Solve for x
    x = 334,994,582.94/28,588.40
  6. Step 6: Final answer
    x = 11,717.85

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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.