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Finding the Fourth Proportional to 25,478.40, 38,217.60 and 6,758.40

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Solution

The fourth proportional to 25,478.40, 38,217.60 and 6,758.40 is: 10,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,478.40 : 38,217.60 = 6,758.40 : x
  2. Step 2: Convert to fraction form
    25,478.40/38,217.60 = 6,758.40/x
  3. Step 3: Cross multiply
    25,478.40x = 38,217.60 × 6,758.40
  4. Step 4: Simplify right side
    25,478.40x = 258,289,827.84
  5. Step 5: Solve for x
    x = 258,289,827.84/25,478.40
  6. Step 6: Final answer
    x = 10,137.60

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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.