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Finding the Fourth Proportional to 10,873.13, 15,005.10 and 5,905.13

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Solution

The fourth proportional to 10,873.13, 15,005.10 and 5,905.13 is: 8,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.13 : 15,005.10 = 5,905.13 : x
  2. Step 2: Convert to fraction form
    10,873.13/15,005.10 = 5,905.13/x
  3. Step 3: Cross multiply
    10,873.13x = 15,005.10 × 5,905.13
  4. Step 4: Simplify right side
    10,873.13x = 88,606,991.14
  5. Step 5: Solve for x
    x = 88,606,991.14/10,873.13
  6. Step 6: Final answer
    x = 8,149.17

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1.5x scale

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.