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Finding the Fourth Proportional to 11,320, 15,623.04 and 6,352

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Solution

The fourth proportional to 11,320, 15,623.04 and 6,352 is: 8,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,320 : 15,623.04 = 6,352 : x
  2. Step 2: Convert to fraction form
    11,320/15,623.04 = 6,352/x
  3. Step 3: Cross multiply
    11,320x = 15,623.04 × 6,352
  4. Step 4: Simplify right side
    11,320x = 99,237,550.08
  5. Step 5: Solve for x
    x = 99,237,550.08/11,320
  6. Step 6: Final answer
    x = 8,766.57

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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.