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Finding the Fourth Proportional to 9,143.68, 13,728.48 and 8,726.08

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Solution

The fourth proportional to 9,143.68, 13,728.48 and 8,726.08 is: 13,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.68 : 13,728.48 = 8,726.08 : x
  2. Step 2: Convert to fraction form
    9,143.68/13,728.48 = 8,726.08/x
  3. Step 3: Cross multiply
    9,143.68x = 13,728.48 × 8,726.08
  4. Step 4: Simplify right side
    9,143.68x = 119,795,814.76
  5. Step 5: Solve for x
    x = 119,795,814.76/9,143.68
  6. Step 6: Final answer
    x = 13,101.49

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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.