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Finding the Fourth Proportional to 2,164.65, 2,987.17 and 1,220.46

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Solution

The fourth proportional to 2,164.65, 2,987.17 and 1,220.46 is: 1,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.65 : 2,987.17 = 1,220.46 : x
  2. Step 2: Convert to fraction form
    2,164.65/2,987.17 = 1,220.46/x
  3. Step 3: Cross multiply
    2,164.65x = 2,987.17 × 1,220.46
  4. Step 4: Simplify right side
    2,164.65x = 3,645,721.50
  5. Step 5: Solve for x
    x = 3,645,721.50/2,164.65
  6. Step 6: Final answer
    x = 1,684.21

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1.5x scale

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.