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Finding the Fourth Proportional to 12,615.92, 17,410.44 and 7,027.28

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Solution

The fourth proportional to 12,615.92, 17,410.44 and 7,027.28 is: 9,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.92 : 17,410.44 = 7,027.28 : x
  2. Step 2: Convert to fraction form
    12,615.92/17,410.44 = 7,027.28/x
  3. Step 3: Cross multiply
    12,615.92x = 17,410.44 × 7,027.28
  4. Step 4: Simplify right side
    12,615.92x = 122,348,036.80
  5. Step 5: Solve for x
    x = 122,348,036.80/12,615.92
  6. Step 6: Final answer
    x = 9,697.91

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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.