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Finding the Fourth Proportional to 2,106.48, 2,909.22 and 1,640

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Solution

The fourth proportional to 2,106.48, 2,909.22 and 1,640 is: 2,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.48 : 2,909.22 = 1,640 : x
  2. Step 2: Convert to fraction form
    2,106.48/2,909.22 = 1,640/x
  3. Step 3: Cross multiply
    2,106.48x = 2,909.22 × 1,640
  4. Step 4: Simplify right side
    2,106.48x = 4,771,120.80
  5. Step 5: Solve for x
    x = 4,771,120.80/2,106.48
  6. Step 6: Final answer
    x = 2,264.97

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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.