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Finding the Fourth Proportional to 2,045.10, 3,066.86 and 874.36

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Solution

The fourth proportional to 2,045.10, 3,066.86 and 874.36 is: 1,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.10 : 3,066.86 = 874.36 : x
  2. Step 2: Convert to fraction form
    2,045.10/3,066.86 = 874.36/x
  3. Step 3: Cross multiply
    2,045.10x = 3,066.86 × 874.36
  4. Step 4: Simplify right side
    2,045.10x = 2,681,539.71
  5. Step 5: Solve for x
    x = 2,681,539.71/2,045.10
  6. Step 6: Final answer
    x = 1,311.20

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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.