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Finding the Fourth Proportional to 8,371, 11,552.52 and 4,645

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Solution

The fourth proportional to 8,371, 11,552.52 and 4,645 is: 6,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371 : 11,552.52 = 4,645 : x
  2. Step 2: Convert to fraction form
    8,371/11,552.52 = 4,645/x
  3. Step 3: Cross multiply
    8,371x = 11,552.52 × 4,645
  4. Step 4: Simplify right side
    8,371x = 53,661,455.40
  5. Step 5: Solve for x
    x = 53,661,455.40/8,371
  6. Step 6: Final answer
    x = 6,410.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.