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Finding the Fourth Proportional to 7,707.56, 11,555.16 and 7,272.89

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Solution

The fourth proportional to 7,707.56, 11,555.16 and 7,272.89 is: 10,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.56 : 11,555.16 = 7,272.89 : x
  2. Step 2: Convert to fraction form
    7,707.56/11,555.16 = 7,272.89/x
  3. Step 3: Cross multiply
    7,707.56x = 11,555.16 × 7,272.89
  4. Step 4: Simplify right side
    7,707.56x = 84,039,365.90
  5. Step 5: Solve for x
    x = 84,039,365.90/7,707.56
  6. Step 6: Final answer
    x = 10,903.51

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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.