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Finding the Fourth Proportional to 5,987.00, 8,980.88 and 1,827.15

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Solution

The fourth proportional to 5,987.00, 8,980.88 and 1,827.15 is: 2,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.00 : 8,980.88 = 1,827.15 : x
  2. Step 2: Convert to fraction form
    5,987.00/8,980.88 = 1,827.15/x
  3. Step 3: Cross multiply
    5,987.00x = 8,980.88 × 1,827.15
  4. Step 4: Simplify right side
    5,987.00x = 16,409,405.76
  5. Step 5: Solve for x
    x = 16,409,405.76/5,987.00
  6. Step 6: Final answer
    x = 2,740.84

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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.