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Finding the Fourth Proportional to 7,029.54, 9,700.83 and 3,885.78

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Solution

The fourth proportional to 7,029.54, 9,700.83 and 3,885.78 is: 5,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.54 : 9,700.83 = 3,885.78 : x
  2. Step 2: Convert to fraction form
    7,029.54/9,700.83 = 3,885.78/x
  3. Step 3: Cross multiply
    7,029.54x = 9,700.83 × 3,885.78
  4. Step 4: Simplify right side
    7,029.54x = 37,695,291.20
  5. Step 5: Solve for x
    x = 37,695,291.20/7,029.54
  6. Step 6: Final answer
    x = 5,362.41

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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.