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Finding the Fourth Proportional to 13,228.74, 19,832.74 and 6,888.30

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Solution

The fourth proportional to 13,228.74, 19,832.74 and 6,888.30 is: 10,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.74 : 19,832.74 = 6,888.30 : x
  2. Step 2: Convert to fraction form
    13,228.74/19,832.74 = 6,888.30/x
  3. Step 3: Cross multiply
    13,228.74x = 19,832.74 × 6,888.30
  4. Step 4: Simplify right side
    13,228.74x = 136,613,862.94
  5. Step 5: Solve for x
    x = 136,613,862.94/13,228.74
  6. Step 6: Final answer
    x = 10,327.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.