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Finding the Fourth Proportional to 2,424, 3,652.50 and 2,158.77

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Solution

The fourth proportional to 2,424, 3,652.50 and 2,158.77 is: 3,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424 : 3,652.50 = 2,158.77 : x
  2. Step 2: Convert to fraction form
    2,424/3,652.50 = 2,158.77/x
  3. Step 3: Cross multiply
    2,424x = 3,652.50 × 2,158.77
  4. Step 4: Simplify right side
    2,424x = 7,884,907.43
  5. Step 5: Solve for x
    x = 7,884,907.43/2,424
  6. Step 6: Final answer
    x = 3,252.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.