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Finding the Fourth Proportional to 6,500.60, 9,749.13 and 1,820.32

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Solution

The fourth proportional to 6,500.60, 9,749.13 and 1,820.32 is: 2,729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.60 : 9,749.13 = 1,820.32 : x
  2. Step 2: Convert to fraction form
    6,500.60/9,749.13 = 1,820.32/x
  3. Step 3: Cross multiply
    6,500.60x = 9,749.13 × 1,820.32
  4. Step 4: Simplify right side
    6,500.60x = 17,746,505.12
  5. Step 5: Solve for x
    x = 17,746,505.12/6,500.60
  6. Step 6: Final answer
    x = 2,729.98

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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.