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Finding the Fourth Proportional to 25,922.40, 38,887.04 and 8,388

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Solution

The fourth proportional to 25,922.40, 38,887.04 and 8,388 is: 12,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,922.40 : 38,887.04 = 8,388 : x
  2. Step 2: Convert to fraction form
    25,922.40/38,887.04 = 8,388/x
  3. Step 3: Cross multiply
    25,922.40x = 38,887.04 × 8,388
  4. Step 4: Simplify right side
    25,922.40x = 326,184,491.52
  5. Step 5: Solve for x
    x = 326,184,491.52/25,922.40
  6. Step 6: Final answer
    x = 12,583.11

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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.