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Finding the Fourth Proportional to 4,781.76, 7,178.76 and 3,686.88

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Solution

The fourth proportional to 4,781.76, 7,178.76 and 3,686.88 is: 5,535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.76 : 7,178.76 = 3,686.88 : x
  2. Step 2: Convert to fraction form
    4,781.76/7,178.76 = 3,686.88/x
  3. Step 3: Cross multiply
    4,781.76x = 7,178.76 × 3,686.88
  4. Step 4: Simplify right side
    4,781.76x = 26,467,226.67
  5. Step 5: Solve for x
    x = 26,467,226.67/4,781.76
  6. Step 6: Final answer
    x = 5,535.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.