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Finding the Fourth Proportional to 31,409.67, 47,118.84 and 9,219.93

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Solution

The fourth proportional to 31,409.67, 47,118.84 and 9,219.93 is: 13,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.67 : 47,118.84 = 9,219.93 : x
  2. Step 2: Convert to fraction form
    31,409.67/47,118.84 = 9,219.93/x
  3. Step 3: Cross multiply
    31,409.67x = 47,118.84 × 9,219.93
  4. Step 4: Simplify right side
    31,409.67x = 434,432,406.48
  5. Step 5: Solve for x
    x = 434,432,406.48/31,409.67
  6. Step 6: Final answer
    x = 13,831.17

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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.