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Finding the Fourth Proportional to 7,840.56, 11,803.62 and 7,151.66

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Solution

The fourth proportional to 7,840.56, 11,803.62 and 7,151.66 is: 10,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.56 : 11,803.62 = 7,151.66 : x
  2. Step 2: Convert to fraction form
    7,840.56/11,803.62 = 7,151.66/x
  3. Step 3: Cross multiply
    7,840.56x = 11,803.62 × 7,151.66
  4. Step 4: Simplify right side
    7,840.56x = 84,415,477.01
  5. Step 5: Solve for x
    x = 84,415,477.01/7,840.56
  6. Step 6: Final answer
    x = 10,766.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.