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Finding the Fourth Proportional to 5,653.77, 8,460.60 and 3,678.18

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Solution

The fourth proportional to 5,653.77, 8,460.60 and 3,678.18 is: 5,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.77 : 8,460.60 = 3,678.18 : x
  2. Step 2: Convert to fraction form
    5,653.77/8,460.60 = 3,678.18/x
  3. Step 3: Cross multiply
    5,653.77x = 8,460.60 × 3,678.18
  4. Step 4: Simplify right side
    5,653.77x = 31,119,609.71
  5. Step 5: Solve for x
    x = 31,119,609.71/5,653.77
  6. Step 6: Final answer
    x = 5,504.22

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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.