Home / 1,987.47-2,980.19-1,167.35

Finding the Fourth Proportional to 1,987.47, 2,980.19 and 1,167.35

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Solution

The fourth proportional to 1,987.47, 2,980.19 and 1,167.35 is: 1,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.47 : 2,980.19 = 1,167.35 : x
  2. Step 2: Convert to fraction form
    1,987.47/2,980.19 = 1,167.35/x
  3. Step 3: Cross multiply
    1,987.47x = 2,980.19 × 1,167.35
  4. Step 4: Simplify right side
    1,987.47x = 3,478,912.81
  5. Step 5: Solve for x
    x = 3,478,912.81/1,987.47
  6. Step 6: Final answer
    x = 1,750.42

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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.