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Finding the Fourth Proportional to 2,172.74, 3,259.08 and 529.29

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Solution

The fourth proportional to 2,172.74, 3,259.08 and 529.29 is: 793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.74 : 3,259.08 = 529.29 : x
  2. Step 2: Convert to fraction form
    2,172.74/3,259.08 = 529.29/x
  3. Step 3: Cross multiply
    2,172.74x = 3,259.08 × 529.29
  4. Step 4: Simplify right side
    2,172.74x = 1,724,979.51
  5. Step 5: Solve for x
    x = 1,724,979.51/2,172.74
  6. Step 6: Final answer
    x = 793.92

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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.