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Finding the Fourth Proportional to 4,509.60, 6,769.80 and 4,477.20

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Solution

The fourth proportional to 4,509.60, 6,769.80 and 4,477.20 is: 6,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.60 : 6,769.80 = 4,477.20 : x
  2. Step 2: Convert to fraction form
    4,509.60/6,769.80 = 4,477.20/x
  3. Step 3: Cross multiply
    4,509.60x = 6,769.80 × 4,477.20
  4. Step 4: Simplify right side
    4,509.60x = 30,309,748.56
  5. Step 5: Solve for x
    x = 30,309,748.56/4,509.60
  6. Step 6: Final answer
    x = 6,721.16

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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.