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Finding the Fourth Proportional to 10,263.99, 15,369.72 and 8,187

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Solution

The fourth proportional to 10,263.99, 15,369.72 and 8,187 is: 12,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.99 : 15,369.72 = 8,187 : x
  2. Step 2: Convert to fraction form
    10,263.99/15,369.72 = 8,187/x
  3. Step 3: Cross multiply
    10,263.99x = 15,369.72 × 8,187
  4. Step 4: Simplify right side
    10,263.99x = 125,831,897.64
  5. Step 5: Solve for x
    x = 125,831,897.64/10,263.99
  6. Step 6: Final answer
    x = 12,259.55

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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.