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Finding the Fourth Proportional to 25,782.54, 38,661.54 and 9,994.98

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Solution

The fourth proportional to 25,782.54, 38,661.54 and 9,994.98 is: 14,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.54 : 38,661.54 = 9,994.98 : x
  2. Step 2: Convert to fraction form
    25,782.54/38,661.54 = 9,994.98/x
  3. Step 3: Cross multiply
    25,782.54x = 38,661.54 × 9,994.98
  4. Step 4: Simplify right side
    25,782.54x = 386,421,319.07
  5. Step 5: Solve for x
    x = 386,421,319.07/25,782.54
  6. Step 6: Final answer
    x = 14,987.71

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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.