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Finding the Fourth Proportional to 3,043.56, 4,564.98 and 852.08

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Solution

The fourth proportional to 3,043.56, 4,564.98 and 852.08 is: 1,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.56 : 4,564.98 = 852.08 : x
  2. Step 2: Convert to fraction form
    3,043.56/4,564.98 = 852.08/x
  3. Step 3: Cross multiply
    3,043.56x = 4,564.98 × 852.08
  4. Step 4: Simplify right side
    3,043.56x = 3,889,728.16
  5. Step 5: Solve for x
    x = 3,889,728.16/3,043.56
  6. Step 6: Final answer
    x = 1,278.02

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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.