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Finding the Fourth Proportional to 6,457.83, 9,686.10 and 2,074.11

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Solution

The fourth proportional to 6,457.83, 9,686.10 and 2,074.11 is: 3,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.83 : 9,686.10 = 2,074.11 : x
  2. Step 2: Convert to fraction form
    6,457.83/9,686.10 = 2,074.11/x
  3. Step 3: Cross multiply
    6,457.83x = 9,686.10 × 2,074.11
  4. Step 4: Simplify right side
    6,457.83x = 20,090,036.87
  5. Step 5: Solve for x
    x = 20,090,036.87/6,457.83
  6. Step 6: Final answer
    x = 3,110.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.