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Finding the Fourth Proportional to 23,407, 35,110.50 and 6,991

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Solution

The fourth proportional to 23,407, 35,110.50 and 6,991 is: 10,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407 : 35,110.50 = 6,991 : x
  2. Step 2: Convert to fraction form
    23,407/35,110.50 = 6,991/x
  3. Step 3: Cross multiply
    23,407x = 35,110.50 × 6,991
  4. Step 4: Simplify right side
    23,407x = 245,457,505.50
  5. Step 5: Solve for x
    x = 245,457,505.50/23,407
  6. Step 6: Final answer
    x = 10,486.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.