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Finding the Fourth Proportional to 9,690, 13,374.63 and 5,709.66

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Solution

The fourth proportional to 9,690, 13,374.63 and 5,709.66 is: 7,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690 : 13,374.63 = 5,709.66 : x
  2. Step 2: Convert to fraction form
    9,690/13,374.63 = 5,709.66/x
  3. Step 3: Cross multiply
    9,690x = 13,374.63 × 5,709.66
  4. Step 4: Simplify right side
    9,690x = 76,364,589.93
  5. Step 5: Solve for x
    x = 76,364,589.93/9,690
  6. Step 6: Final answer
    x = 7,880.76

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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.