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Finding the Fourth Proportional to 28,498.58, 42,747.86 and 7,722.08

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Solution

The fourth proportional to 28,498.58, 42,747.86 and 7,722.08 is: 11,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,498.58 : 42,747.86 = 7,722.08 : x
  2. Step 2: Convert to fraction form
    28,498.58/42,747.86 = 7,722.08/x
  3. Step 3: Cross multiply
    28,498.58x = 42,747.86 × 7,722.08
  4. Step 4: Simplify right side
    28,498.58x = 330,102,142.40
  5. Step 5: Solve for x
    x = 330,102,142.40/28,498.58
  6. Step 6: Final answer
    x = 11,583.11

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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.