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Finding the Fourth Proportional to 11,466.90, 15,823.89 and 6,431.40

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Solution

The fourth proportional to 11,466.90, 15,823.89 and 6,431.40 is: 8,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.90 : 15,823.89 = 6,431.40 : x
  2. Step 2: Convert to fraction form
    11,466.90/15,823.89 = 6,431.40/x
  3. Step 3: Cross multiply
    11,466.90x = 15,823.89 × 6,431.40
  4. Step 4: Simplify right side
    11,466.90x = 101,769,766.15
  5. Step 5: Solve for x
    x = 101,769,766.15/11,466.90
  6. Step 6: Final answer
    x = 8,875.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.