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Finding the Fourth Proportional to 10,434, 15,640.46 and 5,228.94

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Solution

The fourth proportional to 10,434, 15,640.46 and 5,228.94 is: 7,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434 : 15,640.46 = 5,228.94 : x
  2. Step 2: Convert to fraction form
    10,434/15,640.46 = 5,228.94/x
  3. Step 3: Cross multiply
    10,434x = 15,640.46 × 5,228.94
  4. Step 4: Simplify right side
    10,434x = 81,783,026.91
  5. Step 5: Solve for x
    x = 81,783,026.91/10,434
  6. Step 6: Final answer
    x = 7,838.13

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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.