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Finding the Fourth Proportional to 2,359.77, 3,256.52 and 1,311.86

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Solution

The fourth proportional to 2,359.77, 3,256.52 and 1,311.86 is: 1,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.77 : 3,256.52 = 1,311.86 : x
  2. Step 2: Convert to fraction form
    2,359.77/3,256.52 = 1,311.86/x
  3. Step 3: Cross multiply
    2,359.77x = 3,256.52 × 1,311.86
  4. Step 4: Simplify right side
    2,359.77x = 4,272,075.49
  5. Step 5: Solve for x
    x = 4,272,075.49/2,359.77
  6. Step 6: Final answer
    x = 1,810.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.