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Finding the Fourth Proportional to 9,639.62, 13,307 and 5,660.98

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Solution

The fourth proportional to 9,639.62, 13,307 and 5,660.98 is: 7,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.62 : 13,307 = 5,660.98 : x
  2. Step 2: Convert to fraction form
    9,639.62/13,307 = 5,660.98/x
  3. Step 3: Cross multiply
    9,639.62x = 13,307 × 5,660.98
  4. Step 4: Simplify right side
    9,639.62x = 75,330,660.86
  5. Step 5: Solve for x
    x = 75,330,660.86/9,639.62
  6. Step 6: Final answer
    x = 7,814.69

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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.