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Finding the Fourth Proportional to 6,477.12, 9,719.52 and 4,398.48

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Solution

The fourth proportional to 6,477.12, 9,719.52 and 4,398.48 is: 6,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.12 : 9,719.52 = 4,398.48 : x
  2. Step 2: Convert to fraction form
    6,477.12/9,719.52 = 4,398.48/x
  3. Step 3: Cross multiply
    6,477.12x = 9,719.52 × 4,398.48
  4. Step 4: Simplify right side
    6,477.12x = 42,751,114.33
  5. Step 5: Solve for x
    x = 42,751,114.33/6,477.12
  6. Step 6: Final answer
    x = 6,600.33

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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.