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Finding the Fourth Proportional to 12,590.53, 17,376.36 and 7,213.48

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Solution

The fourth proportional to 12,590.53, 17,376.36 and 7,213.48 is: 9,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.53 : 17,376.36 = 7,213.48 : x
  2. Step 2: Convert to fraction form
    12,590.53/17,376.36 = 7,213.48/x
  3. Step 3: Cross multiply
    12,590.53x = 17,376.36 × 7,213.48
  4. Step 4: Simplify right side
    12,590.53x = 125,344,025.33
  5. Step 5: Solve for x
    x = 125,344,025.33/12,590.53
  6. Step 6: Final answer
    x = 9,955.42

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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.