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Finding the Fourth Proportional to 13,064.78, 18,029.74 and 7,687.60

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Solution

The fourth proportional to 13,064.78, 18,029.74 and 7,687.60 is: 10,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.78 : 18,029.74 = 7,687.60 : x
  2. Step 2: Convert to fraction form
    13,064.78/18,029.74 = 7,687.60/x
  3. Step 3: Cross multiply
    13,064.78x = 18,029.74 × 7,687.60
  4. Step 4: Simplify right side
    13,064.78x = 138,605,364.93
  5. Step 5: Solve for x
    x = 138,605,364.93/13,064.78
  6. Step 6: Final answer
    x = 10,609.08

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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.