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Finding the Fourth Proportional to 3,602.83, 4,972 and 1,987.80

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Solution

The fourth proportional to 3,602.83, 4,972 and 1,987.80 is: 2,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.83 : 4,972 = 1,987.80 : x
  2. Step 2: Convert to fraction form
    3,602.83/4,972 = 1,987.80/x
  3. Step 3: Cross multiply
    3,602.83x = 4,972 × 1,987.80
  4. Step 4: Simplify right side
    3,602.83x = 9,883,341.60
  5. Step 5: Solve for x
    x = 9,883,341.60/3,602.83
  6. Step 6: Final answer
    x = 2,743.22

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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.