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Finding the Fourth Proportional to 5,862.82, 8,090.78 and 3,210.34

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Solution

The fourth proportional to 5,862.82, 8,090.78 and 3,210.34 is: 4,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.82 : 8,090.78 = 3,210.34 : x
  2. Step 2: Convert to fraction form
    5,862.82/8,090.78 = 3,210.34/x
  3. Step 3: Cross multiply
    5,862.82x = 8,090.78 × 3,210.34
  4. Step 4: Simplify right side
    5,862.82x = 25,974,154.67
  5. Step 5: Solve for x
    x = 25,974,154.67/5,862.82
  6. Step 6: Final answer
    x = 4,430.32

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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.