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Finding the Fourth Proportional to 8,495.38, 12,726.50 and 5,564.80

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Solution

The fourth proportional to 8,495.38, 12,726.50 and 5,564.80 is: 8,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.38 : 12,726.50 = 5,564.80 : x
  2. Step 2: Convert to fraction form
    8,495.38/12,726.50 = 5,564.80/x
  3. Step 3: Cross multiply
    8,495.38x = 12,726.50 × 5,564.80
  4. Step 4: Simplify right side
    8,495.38x = 70,820,427.20
  5. Step 5: Solve for x
    x = 70,820,427.20/8,495.38
  6. Step 6: Final answer
    x = 8,336.35

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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.