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Finding the Fourth Proportional to 11,807.74, 16,294.86 and 6,430.38

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Solution

The fourth proportional to 11,807.74, 16,294.86 and 6,430.38 is: 8,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.74 : 16,294.86 = 6,430.38 : x
  2. Step 2: Convert to fraction form
    11,807.74/16,294.86 = 6,430.38/x
  3. Step 3: Cross multiply
    11,807.74x = 16,294.86 × 6,430.38
  4. Step 4: Simplify right side
    11,807.74x = 104,782,141.85
  5. Step 5: Solve for x
    x = 104,782,141.85/11,807.74
  6. Step 6: Final answer
    x = 8,874.02

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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.