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Finding the Fourth Proportional to 5,625, 8,431.74 and 2,340

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Solution

The fourth proportional to 5,625, 8,431.74 and 2,340 is: 3,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625 : 8,431.74 = 2,340 : x
  2. Step 2: Convert to fraction form
    5,625/8,431.74 = 2,340/x
  3. Step 3: Cross multiply
    5,625x = 8,431.74 × 2,340
  4. Step 4: Simplify right side
    5,625x = 19,730,271.60
  5. Step 5: Solve for x
    x = 19,730,271.60/5,625
  6. Step 6: Final answer
    x = 3,507.60

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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.