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Finding the Fourth Proportional to 5,986.49, 8,978.93 and 1,603.99

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Solution

The fourth proportional to 5,986.49, 8,978.93 and 1,603.99 is: 2,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.49 : 8,978.93 = 1,603.99 : x
  2. Step 2: Convert to fraction form
    5,986.49/8,978.93 = 1,603.99/x
  3. Step 3: Cross multiply
    5,986.49x = 8,978.93 × 1,603.99
  4. Step 4: Simplify right side
    5,986.49x = 14,402,061.02
  5. Step 5: Solve for x
    x = 14,402,061.02/5,986.49
  6. Step 6: Final answer
    x = 2,405.76

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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.