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Finding the Fourth Proportional to 5,987.60, 8,981.80 and 2,038.80

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Solution

The fourth proportional to 5,987.60, 8,981.80 and 2,038.80 is: 3,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.60 : 8,981.80 = 2,038.80 : x
  2. Step 2: Convert to fraction form
    5,987.60/8,981.80 = 2,038.80/x
  3. Step 3: Cross multiply
    5,987.60x = 8,981.80 × 2,038.80
  4. Step 4: Simplify right side
    5,987.60x = 18,312,093.84
  5. Step 5: Solve for x
    x = 18,312,093.84/5,987.60
  6. Step 6: Final answer
    x = 3,058.34

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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.