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Finding the Fourth Proportional to 13,295.54, 19,894.07 and 9,788.15

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Solution

The fourth proportional to 13,295.54, 19,894.07 and 9,788.15 is: 14,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,295.54 : 19,894.07 = 9,788.15 : x
  2. Step 2: Convert to fraction form
    13,295.54/19,894.07 = 9,788.15/x
  3. Step 3: Cross multiply
    13,295.54x = 19,894.07 × 9,788.15
  4. Step 4: Simplify right side
    13,295.54x = 194,725,992.86
  5. Step 5: Solve for x
    x = 194,725,992.86/13,295.54
  6. Step 6: Final answer
    x = 14,645.97

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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.