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Finding the Fourth Proportional to 12,698.76, 19,025.10 and 9,957

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Solution

The fourth proportional to 12,698.76, 19,025.10 and 9,957 is: 14,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.76 : 19,025.10 = 9,957 : x
  2. Step 2: Convert to fraction form
    12,698.76/19,025.10 = 9,957/x
  3. Step 3: Cross multiply
    12,698.76x = 19,025.10 × 9,957
  4. Step 4: Simplify right side
    12,698.76x = 189,432,920.70
  5. Step 5: Solve for x
    x = 189,432,920.70/12,698.76
  6. Step 6: Final answer
    x = 14,917.43

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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.