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Finding the Fourth Proportional to 25,598, 38,399.20 and 7,130

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Solution

The fourth proportional to 25,598, 38,399.20 and 7,130 is: 10,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,598 : 38,399.20 = 7,130 : x
  2. Step 2: Convert to fraction form
    25,598/38,399.20 = 7,130/x
  3. Step 3: Cross multiply
    25,598x = 38,399.20 × 7,130
  4. Step 4: Simplify right side
    25,598x = 273,786,296
  5. Step 5: Solve for x
    x = 273,786,296/25,598
  6. Step 6: Final answer
    x = 10,695.61

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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.