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Finding the Fourth Proportional to 7,667.80, 11,445.74 and 6,579.16

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Solution

The fourth proportional to 7,667.80, 11,445.74 and 6,579.16 is: 9,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.80 : 11,445.74 = 6,579.16 : x
  2. Step 2: Convert to fraction form
    7,667.80/11,445.74 = 6,579.16/x
  3. Step 3: Cross multiply
    7,667.80x = 11,445.74 × 6,579.16
  4. Step 4: Simplify right side
    7,667.80x = 75,303,317.94
  5. Step 5: Solve for x
    x = 75,303,317.94/7,667.80
  6. Step 6: Final answer
    x = 9,820.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.