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Finding the Fourth Proportional to 25,829.54, 38,744.78 and 7,109.47

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Solution

The fourth proportional to 25,829.54, 38,744.78 and 7,109.47 is: 10,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,829.54 : 38,744.78 = 7,109.47 : x
  2. Step 2: Convert to fraction form
    25,829.54/38,744.78 = 7,109.47/x
  3. Step 3: Cross multiply
    25,829.54x = 38,744.78 × 7,109.47
  4. Step 4: Simplify right side
    25,829.54x = 275,454,851.07
  5. Step 5: Solve for x
    x = 275,454,851.07/25,829.54
  6. Step 6: Final answer
    x = 10,664.33

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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.