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Finding the Fourth Proportional to 6,271.20, 9,404 and 1,887.60

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Solution

The fourth proportional to 6,271.20, 9,404 and 1,887.60 is: 2,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.20 : 9,404 = 1,887.60 : x
  2. Step 2: Convert to fraction form
    6,271.20/9,404 = 1,887.60/x
  3. Step 3: Cross multiply
    6,271.20x = 9,404 × 1,887.60
  4. Step 4: Simplify right side
    6,271.20x = 17,750,990.40
  5. Step 5: Solve for x
    x = 17,750,990.40/6,271.20
  6. Step 6: Final answer
    x = 2,830.56

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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.