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Finding the Fourth Proportional to 5,985.63, 8,978.85 and 1,603.26

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Solution

The fourth proportional to 5,985.63, 8,978.85 and 1,603.26 is: 2,405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.63 : 8,978.85 = 1,603.26 : x
  2. Step 2: Convert to fraction form
    5,985.63/8,978.85 = 1,603.26/x
  3. Step 3: Cross multiply
    5,985.63x = 8,978.85 × 1,603.26
  4. Step 4: Simplify right side
    5,985.63x = 14,395,431.05
  5. Step 5: Solve for x
    x = 14,395,431.05/5,985.63
  6. Step 6: Final answer
    x = 2,405.00

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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.