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Finding the Fourth Proportional to 12,825.74, 17,693.74 and 7,518.32

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Solution

The fourth proportional to 12,825.74, 17,693.74 and 7,518.32 is: 10,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.74 : 17,693.74 = 7,518.32 : x
  2. Step 2: Convert to fraction form
    12,825.74/17,693.74 = 7,518.32/x
  3. Step 3: Cross multiply
    12,825.74x = 17,693.74 × 7,518.32
  4. Step 4: Simplify right side
    12,825.74x = 133,027,186.60
  5. Step 5: Solve for x
    x = 133,027,186.60/12,825.74
  6. Step 6: Final answer
    x = 10,371.89

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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.