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Finding the Fourth Proportional to 12,103.68, 16,695.82 and 7,619.64

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Solution

The fourth proportional to 12,103.68, 16,695.82 and 7,619.64 is: 10,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.68 : 16,695.82 = 7,619.64 : x
  2. Step 2: Convert to fraction form
    12,103.68/16,695.82 = 7,619.64/x
  3. Step 3: Cross multiply
    12,103.68x = 16,695.82 × 7,619.64
  4. Step 4: Simplify right side
    12,103.68x = 127,216,137.90
  5. Step 5: Solve for x
    x = 127,216,137.90/12,103.68
  6. Step 6: Final answer
    x = 10,510.53

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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.