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Finding the Fourth Proportional to 5,636, 8,455.12 and 1,740.24

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Solution

The fourth proportional to 5,636, 8,455.12 and 1,740.24 is: 2,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636 : 8,455.12 = 1,740.24 : x
  2. Step 2: Convert to fraction form
    5,636/8,455.12 = 1,740.24/x
  3. Step 3: Cross multiply
    5,636x = 8,455.12 × 1,740.24
  4. Step 4: Simplify right side
    5,636x = 14,713,938.03
  5. Step 5: Solve for x
    x = 14,713,938.03/5,636
  6. Step 6: Final answer
    x = 2,610.71

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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.