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Finding the Fourth Proportional to 31,013.40, 46,521.90 and 8,828.40

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Solution

The fourth proportional to 31,013.40, 46,521.90 and 8,828.40 is: 13,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,013.40 : 46,521.90 = 8,828.40 : x
  2. Step 2: Convert to fraction form
    31,013.40/46,521.90 = 8,828.40/x
  3. Step 3: Cross multiply
    31,013.40x = 46,521.90 × 8,828.40
  4. Step 4: Simplify right side
    31,013.40x = 410,713,941.96
  5. Step 5: Solve for x
    x = 410,713,941.96/31,013.40
  6. Step 6: Final answer
    x = 13,243.11

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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.