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Finding the Fourth Proportional to 12,778.12, 17,640.16 and 9,900.39

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Solution

The fourth proportional to 12,778.12, 17,640.16 and 9,900.39 is: 13,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.12 : 17,640.16 = 9,900.39 : x
  2. Step 2: Convert to fraction form
    12,778.12/17,640.16 = 9,900.39/x
  3. Step 3: Cross multiply
    12,778.12x = 17,640.16 × 9,900.39
  4. Step 4: Simplify right side
    12,778.12x = 174,644,461.53
  5. Step 5: Solve for x
    x = 174,644,461.53/12,778.12
  6. Step 6: Final answer
    x = 13,667.47

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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.