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Finding the Fourth Proportional to 6,000.55, 9,000 and 1,618.27

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Solution

The fourth proportional to 6,000.55, 9,000 and 1,618.27 is: 2,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.55 : 9,000 = 1,618.27 : x
  2. Step 2: Convert to fraction form
    6,000.55/9,000 = 1,618.27/x
  3. Step 3: Cross multiply
    6,000.55x = 9,000 × 1,618.27
  4. Step 4: Simplify right side
    6,000.55x = 14,564,430
  5. Step 5: Solve for x
    x = 14,564,430/6,000.55
  6. Step 6: Final answer
    x = 2,427.18

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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.