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Finding the Fourth Proportional to 12,419.68, 17,138.81 and 6,830.68

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Solution

The fourth proportional to 12,419.68, 17,138.81 and 6,830.68 is: 9,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.68 : 17,138.81 = 6,830.68 : x
  2. Step 2: Convert to fraction form
    12,419.68/17,138.81 = 6,830.68/x
  3. Step 3: Cross multiply
    12,419.68x = 17,138.81 × 6,830.68
  4. Step 4: Simplify right side
    12,419.68x = 117,069,726.69
  5. Step 5: Solve for x
    x = 117,069,726.69/12,419.68
  6. Step 6: Final answer
    x = 9,426.15

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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.