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Finding the Fourth Proportional to 6,465.20, 8,921.99 and 3,670.70

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Solution

The fourth proportional to 6,465.20, 8,921.99 and 3,670.70 is: 5,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.20 : 8,921.99 = 3,670.70 : x
  2. Step 2: Convert to fraction form
    6,465.20/8,921.99 = 3,670.70/x
  3. Step 3: Cross multiply
    6,465.20x = 8,921.99 × 3,670.70
  4. Step 4: Simplify right side
    6,465.20x = 32,749,971.00
  5. Step 5: Solve for x
    x = 32,749,971.00/6,465.20
  6. Step 6: Final answer
    x = 5,065.58

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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.