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Finding the Fourth Proportional to 5,987.85, 8,981.56 and 1,605.07

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Solution

The fourth proportional to 5,987.85, 8,981.56 and 1,605.07 is: 2,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.85 : 8,981.56 = 1,605.07 : x
  2. Step 2: Convert to fraction form
    5,987.85/8,981.56 = 1,605.07/x
  3. Step 3: Cross multiply
    5,987.85x = 8,981.56 × 1,605.07
  4. Step 4: Simplify right side
    5,987.85x = 14,416,032.51
  5. Step 5: Solve for x
    x = 14,416,032.51/5,987.85
  6. Step 6: Final answer
    x = 2,407.55

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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.