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Finding the Fourth Proportional to 6,486.72, 8,952 and 3,693.12

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Solution

The fourth proportional to 6,486.72, 8,952 and 3,693.12 is: 5,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.72 : 8,952 = 3,693.12 : x
  2. Step 2: Convert to fraction form
    6,486.72/8,952 = 3,693.12/x
  3. Step 3: Cross multiply
    6,486.72x = 8,952 × 3,693.12
  4. Step 4: Simplify right side
    6,486.72x = 33,060,810.24
  5. Step 5: Solve for x
    x = 33,060,810.24/6,486.72
  6. Step 6: Final answer
    x = 5,096.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.