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Finding the Fourth Proportional to 25,848, 38,772 and 7,380

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Solution

The fourth proportional to 25,848, 38,772 and 7,380 is: 11,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,848 : 38,772 = 7,380 : x
  2. Step 2: Convert to fraction form
    25,848/38,772 = 7,380/x
  3. Step 3: Cross multiply
    25,848x = 38,772 × 7,380
  4. Step 4: Simplify right side
    25,848x = 286,137,360
  5. Step 5: Solve for x
    x = 286,137,360/25,848
  6. Step 6: Final answer
    x = 11,070

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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.