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Finding the Fourth Proportional to 4,678.44, 6,455.88 and 2,789.88

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Solution

The fourth proportional to 4,678.44, 6,455.88 and 2,789.88 is: 3,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.44 : 6,455.88 = 2,789.88 : x
  2. Step 2: Convert to fraction form
    4,678.44/6,455.88 = 2,789.88/x
  3. Step 3: Cross multiply
    4,678.44x = 6,455.88 × 2,789.88
  4. Step 4: Simplify right side
    4,678.44x = 18,011,130.49
  5. Step 5: Solve for x
    x = 18,011,130.49/4,678.44
  6. Step 6: Final answer
    x = 3,849.82

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1.5x scale

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.