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Finding the Fourth Proportional to 12,419.52, 17,138.96 and 6,830.52

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Solution

The fourth proportional to 12,419.52, 17,138.96 and 6,830.52 is: 9,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.52 : 17,138.96 = 6,830.52 : x
  2. Step 2: Convert to fraction form
    12,419.52/17,138.96 = 6,830.52/x
  3. Step 3: Cross multiply
    12,419.52x = 17,138.96 × 6,830.52
  4. Step 4: Simplify right side
    12,419.52x = 117,068,009.06
  5. Step 5: Solve for x
    x = 117,068,009.06/12,419.52
  6. Step 6: Final answer
    x = 9,426.13

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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.