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Finding the Fourth Proportional to 4,386, 6,055.92 and 3,208.80

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Solution

The fourth proportional to 4,386, 6,055.92 and 3,208.80 is: 4,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386 : 6,055.92 = 3,208.80 : x
  2. Step 2: Convert to fraction form
    4,386/6,055.92 = 3,208.80/x
  3. Step 3: Cross multiply
    4,386x = 6,055.92 × 3,208.80
  4. Step 4: Simplify right side
    4,386x = 19,432,236.10
  5. Step 5: Solve for x
    x = 19,432,236.10/4,386
  6. Step 6: Final answer
    x = 4,430.51

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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.