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Finding the Fourth Proportional to 7,147.02, 9,862.93 and 4,003.21

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Solution

The fourth proportional to 7,147.02, 9,862.93 and 4,003.21 is: 5,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.02 : 9,862.93 = 4,003.21 : x
  2. Step 2: Convert to fraction form
    7,147.02/9,862.93 = 4,003.21/x
  3. Step 3: Cross multiply
    7,147.02x = 9,862.93 × 4,003.21
  4. Step 4: Simplify right side
    7,147.02x = 39,483,380.01
  5. Step 5: Solve for x
    x = 39,483,380.01/7,147.02
  6. Step 6: Final answer
    x = 5,524.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.