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Finding the Fourth Proportional to 25,438.14, 38,156.81 and 6,970.14

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Solution

The fourth proportional to 25,438.14, 38,156.81 and 6,970.14 is: 10,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438.14 : 38,156.81 = 6,970.14 : x
  2. Step 2: Convert to fraction form
    25,438.14/38,156.81 = 6,970.14/x
  3. Step 3: Cross multiply
    25,438.14x = 38,156.81 × 6,970.14
  4. Step 4: Simplify right side
    25,438.14x = 265,958,272.80
  5. Step 5: Solve for x
    x = 265,958,272.80/25,438.14
  6. Step 6: Final answer
    x = 10,455.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.