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Finding the Fourth Proportional to 25,622, 38,435.52 and 7,154

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Solution

The fourth proportional to 25,622, 38,435.52 and 7,154 is: 10,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,622 : 38,435.52 = 7,154 : x
  2. Step 2: Convert to fraction form
    25,622/38,435.52 = 7,154/x
  3. Step 3: Cross multiply
    25,622x = 38,435.52 × 7,154
  4. Step 4: Simplify right side
    25,622x = 274,967,710.08
  5. Step 5: Solve for x
    x = 274,967,710.08/25,622
  6. Step 6: Final answer
    x = 10,731.70

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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.