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Finding the Fourth Proportional to 4,774, 6,588.12 and 2,678.80

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Solution

The fourth proportional to 4,774, 6,588.12 and 2,678.80 is: 3,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774 : 6,588.12 = 2,678.80 : x
  2. Step 2: Convert to fraction form
    4,774/6,588.12 = 2,678.80/x
  3. Step 3: Cross multiply
    4,774x = 6,588.12 × 2,678.80
  4. Step 4: Simplify right side
    4,774x = 17,648,255.86
  5. Step 5: Solve for x
    x = 17,648,255.86/4,774
  6. Step 6: Final answer
    x = 3,696.74

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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.