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Finding the Fourth Proportional to 2,990.19, 4,482.72 and 1,140

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Solution

The fourth proportional to 2,990.19, 4,482.72 and 1,140 is: 1,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.19 : 4,482.72 = 1,140 : x
  2. Step 2: Convert to fraction form
    2,990.19/4,482.72 = 1,140/x
  3. Step 3: Cross multiply
    2,990.19x = 4,482.72 × 1,140
  4. Step 4: Simplify right side
    2,990.19x = 5,110,300.80
  5. Step 5: Solve for x
    x = 5,110,300.80/2,990.19
  6. Step 6: Final answer
    x = 1,709.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.