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Finding the Fourth Proportional to 4,886, 6,742.76 and 3,491.12

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Solution

The fourth proportional to 4,886, 6,742.76 and 3,491.12 is: 4,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886 : 6,742.76 = 3,491.12 : x
  2. Step 2: Convert to fraction form
    4,886/6,742.76 = 3,491.12/x
  3. Step 3: Cross multiply
    4,886x = 6,742.76 × 3,491.12
  4. Step 4: Simplify right side
    4,886x = 23,539,784.29
  5. Step 5: Solve for x
    x = 23,539,784.29/4,886
  6. Step 6: Final answer
    x = 4,817.80

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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.