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Finding the Fourth Proportional to 7,800.50, 11,683.24 and 6,033.08

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Solution

The fourth proportional to 7,800.50, 11,683.24 and 6,033.08 is: 9,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.50 : 11,683.24 = 6,033.08 : x
  2. Step 2: Convert to fraction form
    7,800.50/11,683.24 = 6,033.08/x
  3. Step 3: Cross multiply
    7,800.50x = 11,683.24 × 6,033.08
  4. Step 4: Simplify right side
    7,800.50x = 70,485,935.70
  5. Step 5: Solve for x
    x = 70,485,935.70/7,800.50
  6. Step 6: Final answer
    x = 9,036.08

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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.