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Finding the Fourth Proportional to 7,201.30, 9,941.72 and 4,975.15

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Solution

The fourth proportional to 7,201.30, 9,941.72 and 4,975.15 is: 6,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.30 : 9,941.72 = 4,975.15 : x
  2. Step 2: Convert to fraction form
    7,201.30/9,941.72 = 4,975.15/x
  3. Step 3: Cross multiply
    7,201.30x = 9,941.72 × 4,975.15
  4. Step 4: Simplify right side
    7,201.30x = 49,461,548.26
  5. Step 5: Solve for x
    x = 49,461,548.26/7,201.30
  6. Step 6: Final answer
    x = 6,868.42

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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.