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Finding the Fourth Proportional to 4,807.69, 7,211.58 and 1,520.80

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Solution

The fourth proportional to 4,807.69, 7,211.58 and 1,520.80 is: 2,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.69 : 7,211.58 = 1,520.80 : x
  2. Step 2: Convert to fraction form
    4,807.69/7,211.58 = 1,520.80/x
  3. Step 3: Cross multiply
    4,807.69x = 7,211.58 × 1,520.80
  4. Step 4: Simplify right side
    4,807.69x = 10,967,370.86
  5. Step 5: Solve for x
    x = 10,967,370.86/4,807.69
  6. Step 6: Final answer
    x = 2,281.21

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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.