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Finding the Fourth Proportional to 12,885.90, 19,324.80 and 7,948.14

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Solution

The fourth proportional to 12,885.90, 19,324.80 and 7,948.14 is: 11,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.90 : 19,324.80 = 7,948.14 : x
  2. Step 2: Convert to fraction form
    12,885.90/19,324.80 = 7,948.14/x
  3. Step 3: Cross multiply
    12,885.90x = 19,324.80 × 7,948.14
  4. Step 4: Simplify right side
    12,885.90x = 153,596,215.87
  5. Step 5: Solve for x
    x = 153,596,215.87/12,885.90
  6. Step 6: Final answer
    x = 11,919.71

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1.5x scale

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.