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Finding the Fourth Proportional to 10,505.91, 14,495.62 and 6,920.49

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Solution

The fourth proportional to 10,505.91, 14,495.62 and 6,920.49 is: 9,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.91 : 14,495.62 = 6,920.49 : x
  2. Step 2: Convert to fraction form
    10,505.91/14,495.62 = 6,920.49/x
  3. Step 3: Cross multiply
    10,505.91x = 14,495.62 × 6,920.49
  4. Step 4: Simplify right side
    10,505.91x = 100,316,793.25
  5. Step 5: Solve for x
    x = 100,316,793.25/10,505.91
  6. Step 6: Final answer
    x = 9,548.61

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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.