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Finding the Fourth Proportional to 7,853, 11,779.52 and 2,381

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Solution

The fourth proportional to 7,853, 11,779.52 and 2,381 is: 3,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853 : 11,779.52 = 2,381 : x
  2. Step 2: Convert to fraction form
    7,853/11,779.52 = 2,381/x
  3. Step 3: Cross multiply
    7,853x = 11,779.52 × 2,381
  4. Step 4: Simplify right side
    7,853x = 28,047,037.12
  5. Step 5: Solve for x
    x = 28,047,037.12/7,853
  6. Step 6: Final answer
    x = 3,571.51

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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.