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Finding the Fourth Proportional to 12,907.20, 19,352 and 6,664.64

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Solution

The fourth proportional to 12,907.20, 19,352 and 6,664.64 is: 9,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.20 : 19,352 = 6,664.64 : x
  2. Step 2: Convert to fraction form
    12,907.20/19,352 = 6,664.64/x
  3. Step 3: Cross multiply
    12,907.20x = 19,352 × 6,664.64
  4. Step 4: Simplify right side
    12,907.20x = 128,974,113.28
  5. Step 5: Solve for x
    x = 128,974,113.28/12,907.20
  6. Step 6: Final answer
    x = 9,992.42

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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.