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Finding the Fourth Proportional to 10,697.56, 14,765.16 and 6,505

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Solution

The fourth proportional to 10,697.56, 14,765.16 and 6,505 is: 8,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.56 : 14,765.16 = 6,505 : x
  2. Step 2: Convert to fraction form
    10,697.56/14,765.16 = 6,505/x
  3. Step 3: Cross multiply
    10,697.56x = 14,765.16 × 6,505
  4. Step 4: Simplify right side
    10,697.56x = 96,047,365.80
  5. Step 5: Solve for x
    x = 96,047,365.80/10,697.56
  6. Step 6: Final answer
    x = 8,978.44

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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.