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Finding the Fourth Proportional to 25,588, 38,384.20 and 7,120

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Solution

The fourth proportional to 25,588, 38,384.20 and 7,120 is: 10,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,588 : 38,384.20 = 7,120 : x
  2. Step 2: Convert to fraction form
    25,588/38,384.20 = 7,120/x
  3. Step 3: Cross multiply
    25,588x = 38,384.20 × 7,120
  4. Step 4: Simplify right side
    25,588x = 273,295,504
  5. Step 5: Solve for x
    x = 273,295,504/25,588
  6. Step 6: Final answer
    x = 10,680.61

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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.