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Finding the Fourth Proportional to 11,471, 15,831.50 and 6,503

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Solution

The fourth proportional to 11,471, 15,831.50 and 6,503 is: 8,975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471 : 15,831.50 = 6,503 : x
  2. Step 2: Convert to fraction form
    11,471/15,831.50 = 6,503/x
  3. Step 3: Cross multiply
    11,471x = 15,831.50 × 6,503
  4. Step 4: Simplify right side
    11,471x = 102,952,244.50
  5. Step 5: Solve for x
    x = 102,952,244.50/11,471
  6. Step 6: Final answer
    x = 8,975.00

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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.