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Finding the Fourth Proportional to 3,050.75, 4,210.04 and 1,653.50

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Solution

The fourth proportional to 3,050.75, 4,210.04 and 1,653.50 is: 2,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.75 : 4,210.04 = 1,653.50 : x
  2. Step 2: Convert to fraction form
    3,050.75/4,210.04 = 1,653.50/x
  3. Step 3: Cross multiply
    3,050.75x = 4,210.04 × 1,653.50
  4. Step 4: Simplify right side
    3,050.75x = 6,961,301.14
  5. Step 5: Solve for x
    x = 6,961,301.14/3,050.75
  6. Step 6: Final answer
    x = 2,281.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.