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Finding the Fourth Proportional to 8,807, 13,213.82 and 5,692.96

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Solution

The fourth proportional to 8,807, 13,213.82 and 5,692.96 is: 8,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,807 : 13,213.82 = 5,692.96 : x
  2. Step 2: Convert to fraction form
    8,807/13,213.82 = 5,692.96/x
  3. Step 3: Cross multiply
    8,807x = 13,213.82 × 5,692.96
  4. Step 4: Simplify right side
    8,807x = 75,225,748.71
  5. Step 5: Solve for x
    x = 75,225,748.71/8,807
  6. Step 6: Final answer
    x = 8,541.59

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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.