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Finding the Fourth Proportional to 25,490, 38,235 and 7,022

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Solution

The fourth proportional to 25,490, 38,235 and 7,022 is: 10,533

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,490 : 38,235 = 7,022 : x
  2. Step 2: Convert to fraction form
    25,490/38,235 = 7,022/x
  3. Step 3: Cross multiply
    25,490x = 38,235 × 7,022
  4. Step 4: Simplify right side
    25,490x = 268,486,170
  5. Step 5: Solve for x
    x = 268,486,170/25,490
  6. Step 6: Final answer
    x = 10,533

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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.