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Finding the Fourth Proportional to 7,845.76, 10,825.80 and 4,658.32

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Solution

The fourth proportional to 7,845.76, 10,825.80 and 4,658.32 is: 6,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.76 : 10,825.80 = 4,658.32 : x
  2. Step 2: Convert to fraction form
    7,845.76/10,825.80 = 4,658.32/x
  3. Step 3: Cross multiply
    7,845.76x = 10,825.80 × 4,658.32
  4. Step 4: Simplify right side
    7,845.76x = 50,430,040.66
  5. Step 5: Solve for x
    x = 50,430,040.66/7,845.76
  6. Step 6: Final answer
    x = 6,427.68

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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.