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Finding the Fourth Proportional to 7,238.97, 9,980.62 and 6,174.63

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Solution

The fourth proportional to 7,238.97, 9,980.62 and 6,174.63 is: 8,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.97 : 9,980.62 = 6,174.63 : x
  2. Step 2: Convert to fraction form
    7,238.97/9,980.62 = 6,174.63/x
  3. Step 3: Cross multiply
    7,238.97x = 9,980.62 × 6,174.63
  4. Step 4: Simplify right side
    7,238.97x = 61,626,620.23
  5. Step 5: Solve for x
    x = 61,626,620.23/7,238.97
  6. Step 6: Final answer
    x = 8,513.18

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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.