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Finding the Fourth Proportional to 7,683.84, 11,509.92 and 6,215.04

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Solution

The fourth proportional to 7,683.84, 11,509.92 and 6,215.04 is: 9,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.84 : 11,509.92 = 6,215.04 : x
  2. Step 2: Convert to fraction form
    7,683.84/11,509.92 = 6,215.04/x
  3. Step 3: Cross multiply
    7,683.84x = 11,509.92 × 6,215.04
  4. Step 4: Simplify right side
    7,683.84x = 71,534,613.20
  5. Step 5: Solve for x
    x = 71,534,613.20/7,683.84
  6. Step 6: Final answer
    x = 9,309.75

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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.