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Finding the Fourth Proportional to 11,673.70, 16,108.87 and 6,368.40

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Solution

The fourth proportional to 11,673.70, 16,108.87 and 6,368.40 is: 8,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.70 : 16,108.87 = 6,368.40 : x
  2. Step 2: Convert to fraction form
    11,673.70/16,108.87 = 6,368.40/x
  3. Step 3: Cross multiply
    11,673.70x = 16,108.87 × 6,368.40
  4. Step 4: Simplify right side
    11,673.70x = 102,587,727.71
  5. Step 5: Solve for x
    x = 102,587,727.71/11,673.70
  6. Step 6: Final answer
    x = 8,787.94

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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.