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Finding the Fourth Proportional to 25,438, 38,159.64 and 6,970

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Solution

The fourth proportional to 25,438, 38,159.64 and 6,970 is: 10,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438 : 38,159.64 = 6,970 : x
  2. Step 2: Convert to fraction form
    25,438/38,159.64 = 6,970/x
  3. Step 3: Cross multiply
    25,438x = 38,159.64 × 6,970
  4. Step 4: Simplify right side
    25,438x = 265,972,690.80
  5. Step 5: Solve for x
    x = 265,972,690.80/25,438
  6. Step 6: Final answer
    x = 10,455.72

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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.