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Finding the Fourth Proportional to 5,900.74, 8,143.80 and 3,810.94

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Solution

The fourth proportional to 5,900.74, 8,143.80 and 3,810.94 is: 5,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.74 : 8,143.80 = 3,810.94 : x
  2. Step 2: Convert to fraction form
    5,900.74/8,143.80 = 3,810.94/x
  3. Step 3: Cross multiply
    5,900.74x = 8,143.80 × 3,810.94
  4. Step 4: Simplify right side
    5,900.74x = 31,035,533.17
  5. Step 5: Solve for x
    x = 31,035,533.17/5,900.74
  6. Step 6: Final answer
    x = 5,259.60

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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.