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Finding the Fourth Proportional to 25,646.50, 38,471.91 and 7,178.50

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Solution

The fourth proportional to 25,646.50, 38,471.91 and 7,178.50 is: 10,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,646.50 : 38,471.91 = 7,178.50 : x
  2. Step 2: Convert to fraction form
    25,646.50/38,471.91 = 7,178.50/x
  3. Step 3: Cross multiply
    25,646.50x = 38,471.91 × 7,178.50
  4. Step 4: Simplify right side
    25,646.50x = 276,170,605.94
  5. Step 5: Solve for x
    x = 276,170,605.94/25,646.50
  6. Step 6: Final answer
    x = 10,768.35

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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.