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Finding the Fourth Proportional to 12,664.02, 19,007.64 and 6,428.34

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Solution

The fourth proportional to 12,664.02, 19,007.64 and 6,428.34 is: 9,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.02 : 19,007.64 = 6,428.34 : x
  2. Step 2: Convert to fraction form
    12,664.02/19,007.64 = 6,428.34/x
  3. Step 3: Cross multiply
    12,664.02x = 19,007.64 × 6,428.34
  4. Step 4: Simplify right side
    12,664.02x = 122,187,572.52
  5. Step 5: Solve for x
    x = 122,187,572.52/12,664.02
  6. Step 6: Final answer
    x = 9,648.40

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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.