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Finding the Fourth Proportional to 25,424.78, 38,137.54 and 7,893.50

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Solution

The fourth proportional to 25,424.78, 38,137.54 and 7,893.50 is: 11,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,424.78 : 38,137.54 = 7,893.50 : x
  2. Step 2: Convert to fraction form
    25,424.78/38,137.54 = 7,893.50/x
  3. Step 3: Cross multiply
    25,424.78x = 38,137.54 × 7,893.50
  4. Step 4: Simplify right side
    25,424.78x = 301,038,671.99
  5. Step 5: Solve for x
    x = 301,038,671.99/25,424.78
  6. Step 6: Final answer
    x = 11,840.36

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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.