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Finding the Fourth Proportional to 12,699.76, 19,026.60 and 9,958

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Solution

The fourth proportional to 12,699.76, 19,026.60 and 9,958 is: 14,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699.76 : 19,026.60 = 9,958 : x
  2. Step 2: Convert to fraction form
    12,699.76/19,026.60 = 9,958/x
  3. Step 3: Cross multiply
    12,699.76x = 19,026.60 × 9,958
  4. Step 4: Simplify right side
    12,699.76x = 189,466,882.80
  5. Step 5: Solve for x
    x = 189,466,882.80/12,699.76
  6. Step 6: Final answer
    x = 14,918.93

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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.