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Finding the Fourth Proportional to 14,262.82, 19,682.76 and 7,975.20

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Solution

The fourth proportional to 14,262.82, 19,682.76 and 7,975.20 is: 11,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.82 : 19,682.76 = 7,975.20 : x
  2. Step 2: Convert to fraction form
    14,262.82/19,682.76 = 7,975.20/x
  3. Step 3: Cross multiply
    14,262.82x = 19,682.76 × 7,975.20
  4. Step 4: Simplify right side
    14,262.82x = 156,973,947.55
  5. Step 5: Solve for x
    x = 156,973,947.55/14,262.82
  6. Step 6: Final answer
    x = 11,005.81

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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.