Home / 2,108.14-2,909.24-1,164

Finding the Fourth Proportional to 2,108.14, 2,909.24 and 1,164

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Solution

The fourth proportional to 2,108.14, 2,909.24 and 1,164 is: 1,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.14 : 2,909.24 = 1,164 : x
  2. Step 2: Convert to fraction form
    2,108.14/2,909.24 = 1,164/x
  3. Step 3: Cross multiply
    2,108.14x = 2,909.24 × 1,164
  4. Step 4: Simplify right side
    2,108.14x = 3,386,355.36
  5. Step 5: Solve for x
    x = 3,386,355.36/2,108.14
  6. Step 6: Final answer
    x = 1,606.32

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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.