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Finding the Fourth Proportional to 12,664.64, 19,002.78 and 6,740.03

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Solution

The fourth proportional to 12,664.64, 19,002.78 and 6,740.03 is: 10,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.64 : 19,002.78 = 6,740.03 : x
  2. Step 2: Convert to fraction form
    12,664.64/19,002.78 = 6,740.03/x
  3. Step 3: Cross multiply
    12,664.64x = 19,002.78 × 6,740.03
  4. Step 4: Simplify right side
    12,664.64x = 128,079,212.27
  5. Step 5: Solve for x
    x = 128,079,212.27/12,664.64
  6. Step 6: Final answer
    x = 10,113.14

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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.