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Finding the Fourth Proportional to 6,455.30, 9,664.05 and 4,819.10

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Solution

The fourth proportional to 6,455.30, 9,664.05 and 4,819.10 is: 7,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.30 : 9,664.05 = 4,819.10 : x
  2. Step 2: Convert to fraction form
    6,455.30/9,664.05 = 4,819.10/x
  3. Step 3: Cross multiply
    6,455.30x = 9,664.05 × 4,819.10
  4. Step 4: Simplify right side
    6,455.30x = 46,572,023.36
  5. Step 5: Solve for x
    x = 46,572,023.36/6,455.30
  6. Step 6: Final answer
    x = 7,214.54

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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.