Home / 1,987.64-2,981.94-1,403.78

Finding the Fourth Proportional to 1,987.64, 2,981.94 and 1,403.78

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Solution

The fourth proportional to 1,987.64, 2,981.94 and 1,403.78 is: 2,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.64 : 2,981.94 = 1,403.78 : x
  2. Step 2: Convert to fraction form
    1,987.64/2,981.94 = 1,403.78/x
  3. Step 3: Cross multiply
    1,987.64x = 2,981.94 × 1,403.78
  4. Step 4: Simplify right side
    1,987.64x = 4,185,994.20
  5. Step 5: Solve for x
    x = 4,185,994.20/1,987.64
  6. Step 6: Final answer
    x = 2,106.01

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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.