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Finding the Fourth Proportional to 5,509, 8,264.70 and 2,431

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Solution

The fourth proportional to 5,509, 8,264.70 and 2,431 is: 3,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509 : 8,264.70 = 2,431 : x
  2. Step 2: Convert to fraction form
    5,509/8,264.70 = 2,431/x
  3. Step 3: Cross multiply
    5,509x = 8,264.70 × 2,431
  4. Step 4: Simplify right side
    5,509x = 20,091,485.70
  5. Step 5: Solve for x
    x = 20,091,485.70/5,509
  6. Step 6: Final answer
    x = 3,647.03

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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.