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Finding the Fourth Proportional to 7,735.80, 11,607.75 and 7,317.57

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Solution

The fourth proportional to 7,735.80, 11,607.75 and 7,317.57 is: 10,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.80 : 11,607.75 = 7,317.57 : x
  2. Step 2: Convert to fraction form
    7,735.80/11,607.75 = 7,317.57/x
  3. Step 3: Cross multiply
    7,735.80x = 11,607.75 × 7,317.57
  4. Step 4: Simplify right side
    7,735.80x = 84,940,523.17
  5. Step 5: Solve for x
    x = 84,940,523.17/7,735.80
  6. Step 6: Final answer
    x = 10,980.19

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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.