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Finding the Fourth Proportional to 4,778.84, 6,590.85 and 2,890.34

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Solution

The fourth proportional to 4,778.84, 6,590.85 and 2,890.34 is: 3,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.84 : 6,590.85 = 2,890.34 : x
  2. Step 2: Convert to fraction form
    4,778.84/6,590.85 = 2,890.34/x
  3. Step 3: Cross multiply
    4,778.84x = 6,590.85 × 2,890.34
  4. Step 4: Simplify right side
    4,778.84x = 19,049,797.39
  5. Step 5: Solve for x
    x = 19,049,797.39/4,778.84
  6. Step 6: Final answer
    x = 3,986.28

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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.