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Finding the Fourth Proportional to 9,965.93, 14,941.53 and 8,415.86

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Solution

The fourth proportional to 9,965.93, 14,941.53 and 8,415.86 is: 12,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.93 : 14,941.53 = 8,415.86 : x
  2. Step 2: Convert to fraction form
    9,965.93/14,941.53 = 8,415.86/x
  3. Step 3: Cross multiply
    9,965.93x = 14,941.53 × 8,415.86
  4. Step 4: Simplify right side
    9,965.93x = 125,745,749.96
  5. Step 5: Solve for x
    x = 125,745,749.96/9,965.93
  6. Step 6: Final answer
    x = 12,617.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.