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Finding the Fourth Proportional to 25,616, 38,390.52 and 13,125.44

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Solution

The fourth proportional to 25,616, 38,390.52 and 13,125.44 is: 19,671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616 : 38,390.52 = 13,125.44 : x
  2. Step 2: Convert to fraction form
    25,616/38,390.52 = 13,125.44/x
  3. Step 3: Cross multiply
    25,616x = 38,390.52 × 13,125.44
  4. Step 4: Simplify right side
    25,616x = 503,892,466.83
  5. Step 5: Solve for x
    x = 503,892,466.83/25,616
  6. Step 6: Final answer
    x = 19,671.01

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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.