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Finding the Fourth Proportional to 11,290.60, 15,575.88 and 7,313

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Solution

The fourth proportional to 11,290.60, 15,575.88 and 7,313 is: 10,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,290.60 : 15,575.88 = 7,313 : x
  2. Step 2: Convert to fraction form
    11,290.60/15,575.88 = 7,313/x
  3. Step 3: Cross multiply
    11,290.60x = 15,575.88 × 7,313
  4. Step 4: Simplify right side
    11,290.60x = 113,906,410.44
  5. Step 5: Solve for x
    x = 113,906,410.44/11,290.60
  6. Step 6: Final answer
    x = 10,088.61

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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.