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Finding the Fourth Proportional to 12,494.64, 17,242.62 and 7,189.35

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Solution

The fourth proportional to 12,494.64, 17,242.62 and 7,189.35 is: 9,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.64 : 17,242.62 = 7,189.35 : x
  2. Step 2: Convert to fraction form
    12,494.64/17,242.62 = 7,189.35/x
  3. Step 3: Cross multiply
    12,494.64x = 17,242.62 × 7,189.35
  4. Step 4: Simplify right side
    12,494.64x = 123,963,230.10
  5. Step 5: Solve for x
    x = 123,963,230.10/12,494.64
  6. Step 6: Final answer
    x = 9,921.31

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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.