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Finding the Fourth Proportional to 10,883, 15,018.66 and 5,915

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Solution

The fourth proportional to 10,883, 15,018.66 and 5,915 is: 8,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883 : 15,018.66 = 5,915 : x
  2. Step 2: Convert to fraction form
    10,883/15,018.66 = 5,915/x
  3. Step 3: Cross multiply
    10,883x = 15,018.66 × 5,915
  4. Step 4: Simplify right side
    10,883x = 88,835,373.90
  5. Step 5: Solve for x
    x = 88,835,373.90/10,883
  6. Step 6: Final answer
    x = 8,162.77

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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.