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Finding the Fourth Proportional to 1,987.50, 2,977.86 and 1,353.07

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Solution

The fourth proportional to 1,987.50, 2,977.86 and 1,353.07 is: 2,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.50 : 2,977.86 = 1,353.07 : x
  2. Step 2: Convert to fraction form
    1,987.50/2,977.86 = 1,353.07/x
  3. Step 3: Cross multiply
    1,987.50x = 2,977.86 × 1,353.07
  4. Step 4: Simplify right side
    1,987.50x = 4,029,261.83
  5. Step 5: Solve for x
    x = 4,029,261.83/1,987.50
  6. Step 6: Final answer
    x = 2,027.30

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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.