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Finding the Fourth Proportional to 28,584.50, 42,879.72 and 7,808

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Solution

The fourth proportional to 28,584.50, 42,879.72 and 7,808 is: 11,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,584.50 : 42,879.72 = 7,808 : x
  2. Step 2: Convert to fraction form
    28,584.50/42,879.72 = 7,808/x
  3. Step 3: Cross multiply
    28,584.50x = 42,879.72 × 7,808
  4. Step 4: Simplify right side
    28,584.50x = 334,804,853.76
  5. Step 5: Solve for x
    x = 334,804,853.76/28,584.50
  6. Step 6: Final answer
    x = 11,712.81

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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.