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Finding the Fourth Proportional to 31,015.40, 46,524.90 and 8,830.40

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Solution

The fourth proportional to 31,015.40, 46,524.90 and 8,830.40 is: 13,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.40 : 46,524.90 = 8,830.40 : x
  2. Step 2: Convert to fraction form
    31,015.40/46,524.90 = 8,830.40/x
  3. Step 3: Cross multiply
    31,015.40x = 46,524.90 × 8,830.40
  4. Step 4: Simplify right side
    31,015.40x = 410,833,476.96
  5. Step 5: Solve for x
    x = 410,833,476.96/31,015.40
  6. Step 6: Final answer
    x = 13,246.11

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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.