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Finding the Fourth Proportional to 25,178.73, 37,768.95 and 7,648.50

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Solution

The fourth proportional to 25,178.73, 37,768.95 and 7,648.50 is: 11,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178.73 : 37,768.95 = 7,648.50 : x
  2. Step 2: Convert to fraction form
    25,178.73/37,768.95 = 7,648.50/x
  3. Step 3: Cross multiply
    25,178.73x = 37,768.95 × 7,648.50
  4. Step 4: Simplify right side
    25,178.73x = 288,875,814.08
  5. Step 5: Solve for x
    x = 288,875,814.08/25,178.73
  6. Step 6: Final answer
    x = 11,473.01

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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.