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Finding the Fourth Proportional to 7,845.03, 10,825.41 and 4,657.77

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Solution

The fourth proportional to 7,845.03, 10,825.41 and 4,657.77 is: 6,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.03 : 10,825.41 = 4,657.77 : x
  2. Step 2: Convert to fraction form
    7,845.03/10,825.41 = 4,657.77/x
  3. Step 3: Cross multiply
    7,845.03x = 10,825.41 × 4,657.77
  4. Step 4: Simplify right side
    7,845.03x = 50,422,269.94
  5. Step 5: Solve for x
    x = 50,422,269.94/7,845.03
  6. Step 6: Final answer
    x = 6,427.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.