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Finding the Fourth Proportional to 13,726.16, 20,612.02 and 8,564.84

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Solution

The fourth proportional to 13,726.16, 20,612.02 and 8,564.84 is: 12,861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.16 : 20,612.02 = 8,564.84 : x
  2. Step 2: Convert to fraction form
    13,726.16/20,612.02 = 8,564.84/x
  3. Step 3: Cross multiply
    13,726.16x = 20,612.02 × 8,564.84
  4. Step 4: Simplify right side
    13,726.16x = 176,538,622.26
  5. Step 5: Solve for x
    x = 176,538,622.26/13,726.16
  6. Step 6: Final answer
    x = 12,861.47

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