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Finding the Fourth Proportional to 5,670.36, 7,829.10 and 4,257.18

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Solution

The fourth proportional to 5,670.36, 7,829.10 and 4,257.18 is: 5,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.36 : 7,829.10 = 4,257.18 : x
  2. Step 2: Convert to fraction form
    5,670.36/7,829.10 = 4,257.18/x
  3. Step 3: Cross multiply
    5,670.36x = 7,829.10 × 4,257.18
  4. Step 4: Simplify right side
    5,670.36x = 33,329,887.94
  5. Step 5: Solve for x
    x = 33,329,887.94/5,670.36
  6. Step 6: Final answer
    x = 5,877.91

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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.