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Finding the Fourth Proportional to 4,651.47, 7,009.19 and 3,847.80

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Solution

The fourth proportional to 4,651.47, 7,009.19 and 3,847.80 is: 5,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.47 : 7,009.19 = 3,847.80 : x
  2. Step 2: Convert to fraction form
    4,651.47/7,009.19 = 3,847.80/x
  3. Step 3: Cross multiply
    4,651.47x = 7,009.19 × 3,847.80
  4. Step 4: Simplify right side
    4,651.47x = 26,969,970.90
  5. Step 5: Solve for x
    x = 26,969,970.90/4,651.47
  6. Step 6: Final answer
    x = 5,798.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.