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Finding the Fourth Proportional to 12,428.16, 17,138.40 and 7,946.88

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Solution

The fourth proportional to 12,428.16, 17,138.40 and 7,946.88 is: 10,958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.16 : 17,138.40 = 7,946.88 : x
  2. Step 2: Convert to fraction form
    12,428.16/17,138.40 = 7,946.88/x
  3. Step 3: Cross multiply
    12,428.16x = 17,138.40 × 7,946.88
  4. Step 4: Simplify right side
    12,428.16x = 136,196,808.19
  5. Step 5: Solve for x
    x = 136,196,808.19/12,428.16
  6. Step 6: Final answer
    x = 10,958.73

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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.