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Finding the Fourth Proportional to 13,663.16, 18,832.50 and 9,679.16

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Solution

The fourth proportional to 13,663.16, 18,832.50 and 9,679.16 is: 13,341.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.16 : 18,832.50 = 9,679.16 : x
  2. Step 2: Convert to fraction form
    13,663.16/18,832.50 = 9,679.16/x
  3. Step 3: Cross multiply
    13,663.16x = 18,832.50 × 9,679.16
  4. Step 4: Simplify right side
    13,663.16x = 182,282,780.70
  5. Step 5: Solve for x
    x = 182,282,780.70/13,663.16
  6. Step 6: Final answer
    x = 13,341.19

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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.