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Finding the Fourth Proportional to 25,894.50, 38,841.75 and 6,438.50

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Solution

The fourth proportional to 25,894.50, 38,841.75 and 6,438.50 is: 9,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.50 : 38,841.75 = 6,438.50 : x
  2. Step 2: Convert to fraction form
    25,894.50/38,841.75 = 6,438.50/x
  3. Step 3: Cross multiply
    25,894.50x = 38,841.75 × 6,438.50
  4. Step 4: Simplify right side
    25,894.50x = 250,082,607.38
  5. Step 5: Solve for x
    x = 250,082,607.38/25,894.50
  6. Step 6: Final answer
    x = 9,657.75

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1.5x scale

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.