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Finding the Fourth Proportional to 2,339.70, 3,509.70 and 696.11

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Solution

The fourth proportional to 2,339.70, 3,509.70 and 696.11 is: 1,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.70 : 3,509.70 = 696.11 : x
  2. Step 2: Convert to fraction form
    2,339.70/3,509.70 = 696.11/x
  3. Step 3: Cross multiply
    2,339.70x = 3,509.70 × 696.11
  4. Step 4: Simplify right side
    2,339.70x = 2,443,126.30
  5. Step 5: Solve for x
    x = 2,443,126.30/2,339.70
  6. Step 6: Final answer
    x = 1,044.21

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1.5x scale

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.