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Finding the Fourth Proportional to 11,472.03, 15,831.31 and 6,436.14

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Solution

The fourth proportional to 11,472.03, 15,831.31 and 6,436.14 is: 8,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.03 : 15,831.31 = 6,436.14 : x
  2. Step 2: Convert to fraction form
    11,472.03/15,831.31 = 6,436.14/x
  3. Step 3: Cross multiply
    11,472.03x = 15,831.31 × 6,436.14
  4. Step 4: Simplify right side
    11,472.03x = 101,892,579.63
  5. Step 5: Solve for x
    x = 101,892,579.63/11,472.03
  6. Step 6: Final answer
    x = 8,881.82

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1.5x scale

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.