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Finding the Fourth Proportional to 8,562.37, 12,842.53 and 2,322.00

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Solution

The fourth proportional to 8,562.37, 12,842.53 and 2,322.00 is: 3,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.37 : 12,842.53 = 2,322.00 : x
  2. Step 2: Convert to fraction form
    8,562.37/12,842.53 = 2,322.00/x
  3. Step 3: Cross multiply
    8,562.37x = 12,842.53 × 2,322.00
  4. Step 4: Simplify right side
    8,562.37x = 29,820,278.84
  5. Step 5: Solve for x
    x = 29,820,278.84/8,562.37
  6. Step 6: Final answer
    x = 3,482.71

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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.