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Finding the Fourth Proportional to 12,651.50, 18,988.82 and 6,415.82

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Solution

The fourth proportional to 12,651.50, 18,988.82 and 6,415.82 is: 9,629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.50 : 18,988.82 = 6,415.82 : x
  2. Step 2: Convert to fraction form
    12,651.50/18,988.82 = 6,415.82/x
  3. Step 3: Cross multiply
    12,651.50x = 18,988.82 × 6,415.82
  4. Step 4: Simplify right side
    12,651.50x = 121,828,772.23
  5. Step 5: Solve for x
    x = 121,828,772.23/12,651.50
  6. Step 6: Final answer
    x = 9,629.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.