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Finding the Fourth Proportional to 2,835, 4,254.12 and 1,296

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Solution

The fourth proportional to 2,835, 4,254.12 and 1,296 is: 1,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835 : 4,254.12 = 1,296 : x
  2. Step 2: Convert to fraction form
    2,835/4,254.12 = 1,296/x
  3. Step 3: Cross multiply
    2,835x = 4,254.12 × 1,296
  4. Step 4: Simplify right side
    2,835x = 5,513,339.52
  5. Step 5: Solve for x
    x = 5,513,339.52/2,835
  6. Step 6: Final answer
    x = 1,944.74

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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.