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Finding the Fourth Proportional to 4,886.58, 6,743.44 and 2,648.40

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Solution

The fourth proportional to 4,886.58, 6,743.44 and 2,648.40 is: 3,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.58 : 6,743.44 = 2,648.40 : x
  2. Step 2: Convert to fraction form
    4,886.58/6,743.44 = 2,648.40/x
  3. Step 3: Cross multiply
    4,886.58x = 6,743.44 × 2,648.40
  4. Step 4: Simplify right side
    4,886.58x = 17,859,300.79
  5. Step 5: Solve for x
    x = 17,859,300.79/4,886.58
  6. Step 6: Final answer
    x = 3,654.77

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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.