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Finding the Fourth Proportional to 7,782.76, 11,605.60 and 7,712.56

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Solution

The fourth proportional to 7,782.76, 11,605.60 and 7,712.56 is: 11,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.76 : 11,605.60 = 7,712.56 : x
  2. Step 2: Convert to fraction form
    7,782.76/11,605.60 = 7,712.56/x
  3. Step 3: Cross multiply
    7,782.76x = 11,605.60 × 7,712.56
  4. Step 4: Simplify right side
    7,782.76x = 89,508,847.77
  5. Step 5: Solve for x
    x = 89,508,847.77/7,782.76
  6. Step 6: Final answer
    x = 11,500.91

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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.