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Finding the Fourth Proportional to 5,647.86, 7,789.77 and 4,948.02

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Solution

The fourth proportional to 5,647.86, 7,789.77 and 4,948.02 is: 6,824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.86 : 7,789.77 = 4,948.02 : x
  2. Step 2: Convert to fraction form
    5,647.86/7,789.77 = 4,948.02/x
  3. Step 3: Cross multiply
    5,647.86x = 7,789.77 × 4,948.02
  4. Step 4: Simplify right side
    5,647.86x = 38,543,937.76
  5. Step 5: Solve for x
    x = 38,543,937.76/5,647.86
  6. Step 6: Final answer
    x = 6,824.52

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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.