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Finding the Fourth Proportional to 10,007, 15,010.71 and 3,081.50

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Solution

The fourth proportional to 10,007, 15,010.71 and 3,081.50 is: 4,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007 : 15,010.71 = 3,081.50 : x
  2. Step 2: Convert to fraction form
    10,007/15,010.71 = 3,081.50/x
  3. Step 3: Cross multiply
    10,007x = 15,010.71 × 3,081.50
  4. Step 4: Simplify right side
    10,007x = 46,255,487.46
  5. Step 5: Solve for x
    x = 46,255,487.46/10,007
  6. Step 6: Final answer
    x = 4,622.31

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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.