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Finding the Fourth Proportional to 12,735.71, 19,078.71 and 8,339.84

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Solution

The fourth proportional to 12,735.71, 19,078.71 and 8,339.84 is: 12,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.71 : 19,078.71 = 8,339.84 : x
  2. Step 2: Convert to fraction form
    12,735.71/19,078.71 = 8,339.84/x
  3. Step 3: Cross multiply
    12,735.71x = 19,078.71 × 8,339.84
  4. Step 4: Simplify right side
    12,735.71x = 159,113,291.75
  5. Step 5: Solve for x
    x = 159,113,291.75/12,735.71
  6. Step 6: Final answer
    x = 12,493.48

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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.