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Finding the Fourth Proportional to 9,306.35, 13,934.62 and 7,830.12

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Solution

The fourth proportional to 9,306.35, 13,934.62 and 7,830.12 is: 11,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.35 : 13,934.62 = 7,830.12 : x
  2. Step 2: Convert to fraction form
    9,306.35/13,934.62 = 7,830.12/x
  3. Step 3: Cross multiply
    9,306.35x = 13,934.62 × 7,830.12
  4. Step 4: Simplify right side
    9,306.35x = 109,109,727.18
  5. Step 5: Solve for x
    x = 109,109,727.18/9,306.35
  6. Step 6: Final answer
    x = 11,724.23

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1.5x scale

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.