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Finding the Fourth Proportional to 10,379.96, 14,319.97 and 7,237.97

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Solution

The fourth proportional to 10,379.96, 14,319.97 and 7,237.97 is: 9,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.96 : 14,319.97 = 7,237.97 : x
  2. Step 2: Convert to fraction form
    10,379.96/14,319.97 = 7,237.97/x
  3. Step 3: Cross multiply
    10,379.96x = 14,319.97 × 7,237.97
  4. Step 4: Simplify right side
    10,379.96x = 103,647,441.66
  5. Step 5: Solve for x
    x = 103,647,441.66/10,379.96
  6. Step 6: Final answer
    x = 9,985.35

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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.