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Finding the Fourth Proportional to 14,419.74, 19,899.25 and 8,132.12

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Solution

The fourth proportional to 14,419.74, 19,899.25 and 8,132.12 is: 11,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.74 : 19,899.25 = 8,132.12 : x
  2. Step 2: Convert to fraction form
    14,419.74/19,899.25 = 8,132.12/x
  3. Step 3: Cross multiply
    14,419.74x = 19,899.25 × 8,132.12
  4. Step 4: Simplify right side
    14,419.74x = 161,822,989.41
  5. Step 5: Solve for x
    x = 161,822,989.41/14,419.74
  6. Step 6: Final answer
    x = 11,222.32

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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.