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Finding the Fourth Proportional to 25,782.86, 38,678.00 and 9,778.29

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Solution

The fourth proportional to 25,782.86, 38,678.00 and 9,778.29 is: 14,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.86 : 38,678.00 = 9,778.29 : x
  2. Step 2: Convert to fraction form
    25,782.86/38,678.00 = 9,778.29/x
  3. Step 3: Cross multiply
    25,782.86x = 38,678.00 × 9,778.29
  4. Step 4: Simplify right side
    25,782.86x = 378,204,725.07
  5. Step 5: Solve for x
    x = 378,204,725.07/25,782.86
  6. Step 6: Final answer
    x = 14,668.84

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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.