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Finding the Fourth Proportional to 7,763.94, 11,641.78 and 5,689.01

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Solution

The fourth proportional to 7,763.94, 11,641.78 and 5,689.01 is: 8,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.94 : 11,641.78 = 5,689.01 : x
  2. Step 2: Convert to fraction form
    7,763.94/11,641.78 = 5,689.01/x
  3. Step 3: Cross multiply
    7,763.94x = 11,641.78 × 5,689.01
  4. Step 4: Simplify right side
    7,763.94x = 66,230,239.05
  5. Step 5: Solve for x
    x = 66,230,239.05/7,763.94
  6. Step 6: Final answer
    x = 8,530.49

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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.