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Finding the Fourth Proportional to 4,977.60, 6,874.08 and 4,102.08

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Solution

The fourth proportional to 4,977.60, 6,874.08 and 4,102.08 is: 5,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.60 : 6,874.08 = 4,102.08 : x
  2. Step 2: Convert to fraction form
    4,977.60/6,874.08 = 4,102.08/x
  3. Step 3: Cross multiply
    4,977.60x = 6,874.08 × 4,102.08
  4. Step 4: Simplify right side
    4,977.60x = 28,198,026.09
  5. Step 5: Solve for x
    x = 28,198,026.09/4,977.60
  6. Step 6: Final answer
    x = 5,664.98

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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.