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Finding the Fourth Proportional to 10,505, 15,757.50 and 4,349.16

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Solution

The fourth proportional to 10,505, 15,757.50 and 4,349.16 is: 6,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505 : 15,757.50 = 4,349.16 : x
  2. Step 2: Convert to fraction form
    10,505/15,757.50 = 4,349.16/x
  3. Step 3: Cross multiply
    10,505x = 15,757.50 × 4,349.16
  4. Step 4: Simplify right side
    10,505x = 68,531,888.70
  5. Step 5: Solve for x
    x = 68,531,888.70/10,505
  6. Step 6: Final answer
    x = 6,523.74

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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.