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Finding the Fourth Proportional to 13,062.56, 18,023.99 and 7,758.68

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Solution

The fourth proportional to 13,062.56, 18,023.99 and 7,758.68 is: 10,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,062.56 : 18,023.99 = 7,758.68 : x
  2. Step 2: Convert to fraction form
    13,062.56/18,023.99 = 7,758.68/x
  3. Step 3: Cross multiply
    13,062.56x = 18,023.99 × 7,758.68
  4. Step 4: Simplify right side
    13,062.56x = 139,842,241.82
  5. Step 5: Solve for x
    x = 139,842,241.82/13,062.56
  6. Step 6: Final answer
    x = 10,705.58

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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.