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Finding the Fourth Proportional to 2,164.52, 2,987.08 and 1,220.47

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Solution

The fourth proportional to 2,164.52, 2,987.08 and 1,220.47 is: 1,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.52 : 2,987.08 = 1,220.47 : x
  2. Step 2: Convert to fraction form
    2,164.52/2,987.08 = 1,220.47/x
  3. Step 3: Cross multiply
    2,164.52x = 2,987.08 × 1,220.47
  4. Step 4: Simplify right side
    2,164.52x = 3,645,631.01
  5. Step 5: Solve for x
    x = 3,645,631.01/2,164.52
  6. Step 6: Final answer
    x = 1,684.27

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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.