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Finding the Fourth Proportional to 7,692.22, 11,508.36 and 5,848.66

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Solution

The fourth proportional to 7,692.22, 11,508.36 and 5,848.66 is: 8,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.22 : 11,508.36 = 5,848.66 : x
  2. Step 2: Convert to fraction form
    7,692.22/11,508.36 = 5,848.66/x
  3. Step 3: Cross multiply
    7,692.22x = 11,508.36 × 5,848.66
  4. Step 4: Simplify right side
    7,692.22x = 67,308,484.80
  5. Step 5: Solve for x
    x = 67,308,484.80/7,692.22
  6. Step 6: Final answer
    x = 8,750.20

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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.