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Finding the Fourth Proportional to 10,243.76, 15,366 and 4,005.23

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Solution

The fourth proportional to 10,243.76, 15,366 and 4,005.23 is: 6,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.76 : 15,366 = 4,005.23 : x
  2. Step 2: Convert to fraction form
    10,243.76/15,366 = 4,005.23/x
  3. Step 3: Cross multiply
    10,243.76x = 15,366 × 4,005.23
  4. Step 4: Simplify right side
    10,243.76x = 61,544,364.18
  5. Step 5: Solve for x
    x = 61,544,364.18/10,243.76
  6. Step 6: Final answer
    x = 6,007.99

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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.