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Finding the Fourth Proportional to 5,611.90, 8,410.65 and 4,992.70

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Solution

The fourth proportional to 5,611.90, 8,410.65 and 4,992.70 is: 7,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.90 : 8,410.65 = 4,992.70 : x
  2. Step 2: Convert to fraction form
    5,611.90/8,410.65 = 4,992.70/x
  3. Step 3: Cross multiply
    5,611.90x = 8,410.65 × 4,992.70
  4. Step 4: Simplify right side
    5,611.90x = 41,991,852.26
  5. Step 5: Solve for x
    x = 41,991,852.26/5,611.90
  6. Step 6: Final answer
    x = 7,482.64

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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.