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Finding the Fourth Proportional to 25,852, 38,778 and 7,384

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Solution

The fourth proportional to 25,852, 38,778 and 7,384 is: 11,076

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852 : 38,778 = 7,384 : x
  2. Step 2: Convert to fraction form
    25,852/38,778 = 7,384/x
  3. Step 3: Cross multiply
    25,852x = 38,778 × 7,384
  4. Step 4: Simplify right side
    25,852x = 286,336,752
  5. Step 5: Solve for x
    x = 286,336,752/25,852
  6. Step 6: Final answer
    x = 11,076

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.