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Finding the Fourth Proportional to 25,382.66, 38,074 and 7,852.10

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Solution

The fourth proportional to 25,382.66, 38,074 and 7,852.10 is: 11,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,382.66 : 38,074 = 7,852.10 : x
  2. Step 2: Convert to fraction form
    25,382.66/38,074 = 7,852.10/x
  3. Step 3: Cross multiply
    25,382.66x = 38,074 × 7,852.10
  4. Step 4: Simplify right side
    25,382.66x = 298,960,855.40
  5. Step 5: Solve for x
    x = 298,960,855.40/25,382.66
  6. Step 6: Final answer
    x = 11,778.15

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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.