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Finding the Fourth Proportional to 31,081, 46,628.88 and 10,304.50

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Solution

The fourth proportional to 31,081, 46,628.88 and 10,304.50 is: 15,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,081 : 46,628.88 = 10,304.50 : x
  2. Step 2: Convert to fraction form
    31,081/46,628.88 = 10,304.50/x
  3. Step 3: Cross multiply
    31,081x = 46,628.88 × 10,304.50
  4. Step 4: Simplify right side
    31,081x = 480,487,293.96
  5. Step 5: Solve for x
    x = 480,487,293.96/31,081
  6. Step 6: Final answer
    x = 15,459.20

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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.