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Finding the Fourth Proportional to 2,169.60, 3,254.37 and 526.16

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Solution

The fourth proportional to 2,169.60, 3,254.37 and 526.16 is: 789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.60 : 3,254.37 = 526.16 : x
  2. Step 2: Convert to fraction form
    2,169.60/3,254.37 = 526.16/x
  3. Step 3: Cross multiply
    2,169.60x = 3,254.37 × 526.16
  4. Step 4: Simplify right side
    2,169.60x = 1,712,309.87
  5. Step 5: Solve for x
    x = 1,712,309.87/2,169.60
  6. Step 6: Final answer
    x = 789.23

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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.