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Finding the Fourth Proportional to 10,971.76, 15,141.02 and 6,003.76

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Solution

The fourth proportional to 10,971.76, 15,141.02 and 6,003.76 is: 8,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.76 : 15,141.02 = 6,003.76 : x
  2. Step 2: Convert to fraction form
    10,971.76/15,141.02 = 6,003.76/x
  3. Step 3: Cross multiply
    10,971.76x = 15,141.02 × 6,003.76
  4. Step 4: Simplify right side
    10,971.76x = 90,903,050.24
  5. Step 5: Solve for x
    x = 90,903,050.24/10,971.76
  6. Step 6: Final answer
    x = 8,285.18

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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.