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Finding the Fourth Proportional to 2,157.69, 3,237.61 and 987.69

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Solution

The fourth proportional to 2,157.69, 3,237.61 and 987.69 is: 1,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.69 : 3,237.61 = 987.69 : x
  2. Step 2: Convert to fraction form
    2,157.69/3,237.61 = 987.69/x
  3. Step 3: Cross multiply
    2,157.69x = 3,237.61 × 987.69
  4. Step 4: Simplify right side
    2,157.69x = 3,197,755.02
  5. Step 5: Solve for x
    x = 3,197,755.02/2,157.69
  6. Step 6: Final answer
    x = 1,482.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.