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Finding the Fourth Proportional to 4,807.65, 7,212.23 and 1,520.43

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Solution

The fourth proportional to 4,807.65, 7,212.23 and 1,520.43 is: 2,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.65 : 7,212.23 = 1,520.43 : x
  2. Step 2: Convert to fraction form
    4,807.65/7,212.23 = 1,520.43/x
  3. Step 3: Cross multiply
    4,807.65x = 7,212.23 × 1,520.43
  4. Step 4: Simplify right side
    4,807.65x = 10,965,683.26
  5. Step 5: Solve for x
    x = 10,965,683.26/4,807.65
  6. Step 6: Final answer
    x = 2,280.88

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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.