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Finding the Fourth Proportional to 6,486.21, 8,948.48 and 4,095.50

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Solution

The fourth proportional to 6,486.21, 8,948.48 and 4,095.50 is: 5,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.21 : 8,948.48 = 4,095.50 : x
  2. Step 2: Convert to fraction form
    6,486.21/8,948.48 = 4,095.50/x
  3. Step 3: Cross multiply
    6,486.21x = 8,948.48 × 4,095.50
  4. Step 4: Simplify right side
    6,486.21x = 36,648,434.62
  5. Step 5: Solve for x
    x = 36,648,434.62/6,486.21
  6. Step 6: Final answer
    x = 5,650.21

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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.