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Finding the Fourth Proportional to 4,310, 6,465.60 and 2,230.22

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Solution

The fourth proportional to 4,310, 6,465.60 and 2,230.22 is: 3,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310 : 6,465.60 = 2,230.22 : x
  2. Step 2: Convert to fraction form
    4,310/6,465.60 = 2,230.22/x
  3. Step 3: Cross multiply
    4,310x = 6,465.60 × 2,230.22
  4. Step 4: Simplify right side
    4,310x = 14,419,710.43
  5. Step 5: Solve for x
    x = 14,419,710.43/4,310
  6. Step 6: Final answer
    x = 3,345.64

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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.