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Finding the Fourth Proportional to 8,364.35, 11,557.14 and 8,065

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Solution

The fourth proportional to 8,364.35, 11,557.14 and 8,065 is: 11,143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.35 : 11,557.14 = 8,065 : x
  2. Step 2: Convert to fraction form
    8,364.35/11,557.14 = 8,065/x
  3. Step 3: Cross multiply
    8,364.35x = 11,557.14 × 8,065
  4. Step 4: Simplify right side
    8,364.35x = 93,208,334.10
  5. Step 5: Solve for x
    x = 93,208,334.10/8,364.35
  6. Step 6: Final answer
    x = 11,143.52

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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.