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Finding the Fourth Proportional to 2,340.63, 3,509.79 and 1,153.26

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Solution

The fourth proportional to 2,340.63, 3,509.79 and 1,153.26 is: 1,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.63 : 3,509.79 = 1,153.26 : x
  2. Step 2: Convert to fraction form
    2,340.63/3,509.79 = 1,153.26/x
  3. Step 3: Cross multiply
    2,340.63x = 3,509.79 × 1,153.26
  4. Step 4: Simplify right side
    2,340.63x = 4,047,700.42
  5. Step 5: Solve for x
    x = 4,047,700.42/2,340.63
  6. Step 6: Final answer
    x = 1,729.32

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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.