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Finding the Fourth Proportional to 8,258.69, 12,376.40 and 6,401.11

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Solution

The fourth proportional to 8,258.69, 12,376.40 and 6,401.11 is: 9,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.69 : 12,376.40 = 6,401.11 : x
  2. Step 2: Convert to fraction form
    8,258.69/12,376.40 = 6,401.11/x
  3. Step 3: Cross multiply
    8,258.69x = 12,376.40 × 6,401.11
  4. Step 4: Simplify right side
    8,258.69x = 79,222,658.06
  5. Step 5: Solve for x
    x = 79,222,658.06/8,258.69
  6. Step 6: Final answer
    x = 9,592.64

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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.