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Finding the Fourth Proportional to 9,834.57, 13,567.85 and 6,479.15

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Solution

The fourth proportional to 9,834.57, 13,567.85 and 6,479.15 is: 8,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.57 : 13,567.85 = 6,479.15 : x
  2. Step 2: Convert to fraction form
    9,834.57/13,567.85 = 6,479.15/x
  3. Step 3: Cross multiply
    9,834.57x = 13,567.85 × 6,479.15
  4. Step 4: Simplify right side
    9,834.57x = 87,908,035.09
  5. Step 5: Solve for x
    x = 87,908,035.09/9,834.57
  6. Step 6: Final answer
    x = 8,938.68

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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.