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Finding the Fourth Proportional to 16,291.47, 22,478.75 and 12,262.53

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Solution

The fourth proportional to 16,291.47, 22,478.75 and 12,262.53 is: 16,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.47 : 22,478.75 = 12,262.53 : x
  2. Step 2: Convert to fraction form
    16,291.47/22,478.75 = 12,262.53/x
  3. Step 3: Cross multiply
    16,291.47x = 22,478.75 × 12,262.53
  4. Step 4: Simplify right side
    16,291.47x = 275,646,415.20
  5. Step 5: Solve for x
    x = 275,646,415.20/16,291.47
  6. Step 6: Final answer
    x = 16,919.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.