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Finding the Fourth Proportional to 12,654.14, 18,981.18 and 3,420.14

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Solution

The fourth proportional to 12,654.14, 18,981.18 and 3,420.14 is: 5,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.14 : 18,981.18 = 3,420.14 : x
  2. Step 2: Convert to fraction form
    12,654.14/18,981.18 = 3,420.14/x
  3. Step 3: Cross multiply
    12,654.14x = 18,981.18 × 3,420.14
  4. Step 4: Simplify right side
    12,654.14x = 64,918,292.97
  5. Step 5: Solve for x
    x = 64,918,292.97/12,654.14
  6. Step 6: Final answer
    x = 5,130.20

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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.