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Finding the Fourth Proportional to 5,774.51, 8,616.42 and 5,421.86

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Solution

The fourth proportional to 5,774.51, 8,616.42 and 5,421.86 is: 8,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.51 : 8,616.42 = 5,421.86 : x
  2. Step 2: Convert to fraction form
    5,774.51/8,616.42 = 5,421.86/x
  3. Step 3: Cross multiply
    5,774.51x = 8,616.42 × 5,421.86
  4. Step 4: Simplify right side
    5,774.51x = 46,717,022.94
  5. Step 5: Solve for x
    x = 46,717,022.94/5,774.51
  6. Step 6: Final answer
    x = 8,090.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.