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Finding the Fourth Proportional to 14,187.53, 19,577.35 and 8,221.12

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Solution

The fourth proportional to 14,187.53, 19,577.35 and 8,221.12 is: 11,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187.53 : 19,577.35 = 8,221.12 : x
  2. Step 2: Convert to fraction form
    14,187.53/19,577.35 = 8,221.12/x
  3. Step 3: Cross multiply
    14,187.53x = 19,577.35 × 8,221.12
  4. Step 4: Simplify right side
    14,187.53x = 160,947,743.63
  5. Step 5: Solve for x
    x = 160,947,743.63/14,187.53
  6. Step 6: Final answer
    x = 11,344.31

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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.