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Finding the Fourth Proportional to 7,750.74, 11,551.50 and 7,738.44

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Solution

The fourth proportional to 7,750.74, 11,551.50 and 7,738.44 is: 11,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.74 : 11,551.50 = 7,738.44 : x
  2. Step 2: Convert to fraction form
    7,750.74/11,551.50 = 7,738.44/x
  3. Step 3: Cross multiply
    7,750.74x = 11,551.50 × 7,738.44
  4. Step 4: Simplify right side
    7,750.74x = 89,390,589.66
  5. Step 5: Solve for x
    x = 89,390,589.66/7,750.74
  6. Step 6: Final answer
    x = 11,533.17

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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.