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Finding the Fourth Proportional to 25,178.59, 37,768.74 and 7,648.39

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Solution

The fourth proportional to 25,178.59, 37,768.74 and 7,648.39 is: 11,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178.59 : 37,768.74 = 7,648.39 : x
  2. Step 2: Convert to fraction form
    25,178.59/37,768.74 = 7,648.39/x
  3. Step 3: Cross multiply
    25,178.59x = 37,768.74 × 7,648.39
  4. Step 4: Simplify right side
    25,178.59x = 288,870,053.33
  5. Step 5: Solve for x
    x = 288,870,053.33/25,178.59
  6. Step 6: Final answer
    x = 11,472.84

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1.5x scale

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.