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Finding the Fourth Proportional to 4,783.20, 7,178.16 and 4,375.20

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Solution

The fourth proportional to 4,783.20, 7,178.16 and 4,375.20 is: 6,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.20 : 7,178.16 = 4,375.20 : x
  2. Step 2: Convert to fraction form
    4,783.20/7,178.16 = 4,375.20/x
  3. Step 3: Cross multiply
    4,783.20x = 7,178.16 × 4,375.20
  4. Step 4: Simplify right side
    4,783.20x = 31,405,885.63
  5. Step 5: Solve for x
    x = 31,405,885.63/4,783.20
  6. Step 6: Final answer
    x = 6,565.87

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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.