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Finding the Fourth Proportional to 5,971.78, 8,242.28 and 4,088.57

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Solution

The fourth proportional to 5,971.78, 8,242.28 and 4,088.57 is: 5,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.78 : 8,242.28 = 4,088.57 : x
  2. Step 2: Convert to fraction form
    5,971.78/8,242.28 = 4,088.57/x
  3. Step 3: Cross multiply
    5,971.78x = 8,242.28 × 4,088.57
  4. Step 4: Simplify right side
    5,971.78x = 33,699,138.74
  5. Step 5: Solve for x
    x = 33,699,138.74/5,971.78
  6. Step 6: Final answer
    x = 5,643.06

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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.