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Finding the Fourth Proportional to 3,485.01, 5,227.53 and 852.51

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Solution

The fourth proportional to 3,485.01, 5,227.53 and 852.51 is: 1,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.01 : 5,227.53 = 852.51 : x
  2. Step 2: Convert to fraction form
    3,485.01/5,227.53 = 852.51/x
  3. Step 3: Cross multiply
    3,485.01x = 5,227.53 × 852.51
  4. Step 4: Simplify right side
    3,485.01x = 4,456,538.01
  5. Step 5: Solve for x
    x = 4,456,538.01/3,485.01
  6. Step 6: Final answer
    x = 1,278.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.