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Finding the Fourth Proportional to 2,173.85, 3,260.77 and 530.38

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Solution

The fourth proportional to 2,173.85, 3,260.77 and 530.38 is: 795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.85 : 3,260.77 = 530.38 : x
  2. Step 2: Convert to fraction form
    2,173.85/3,260.77 = 530.38/x
  3. Step 3: Cross multiply
    2,173.85x = 3,260.77 × 530.38
  4. Step 4: Simplify right side
    2,173.85x = 1,729,434.58
  5. Step 5: Solve for x
    x = 1,729,434.58/2,173.85
  6. Step 6: Final answer
    x = 795.56

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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.