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Finding the Fourth Proportional to 14,425.50, 19,907.19 and 8,137.74

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Solution

The fourth proportional to 14,425.50, 19,907.19 and 8,137.74 is: 11,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425.50 : 19,907.19 = 8,137.74 : x
  2. Step 2: Convert to fraction form
    14,425.50/19,907.19 = 8,137.74/x
  3. Step 3: Cross multiply
    14,425.50x = 19,907.19 × 8,137.74
  4. Step 4: Simplify right side
    14,425.50x = 161,999,536.35
  5. Step 5: Solve for x
    x = 161,999,536.35/14,425.50
  6. Step 6: Final answer
    x = 11,230.08

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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.