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Finding the Fourth Proportional to 12,712.14, 19,068.21 and 6,867.42

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Solution

The fourth proportional to 12,712.14, 19,068.21 and 6,867.42 is: 10,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.14 : 19,068.21 = 6,867.42 : x
  2. Step 2: Convert to fraction form
    12,712.14/19,068.21 = 6,867.42/x
  3. Step 3: Cross multiply
    12,712.14x = 19,068.21 × 6,867.42
  4. Step 4: Simplify right side
    12,712.14x = 130,949,406.72
  5. Step 5: Solve for x
    x = 130,949,406.72/12,712.14
  6. Step 6: Final answer
    x = 10,301.13

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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.