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Finding the Fourth Proportional to 3,457.18, 5,185.77 and 860.12

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Solution

The fourth proportional to 3,457.18, 5,185.77 and 860.12 is: 1,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.18 : 5,185.77 = 860.12 : x
  2. Step 2: Convert to fraction form
    3,457.18/5,185.77 = 860.12/x
  3. Step 3: Cross multiply
    3,457.18x = 5,185.77 × 860.12
  4. Step 4: Simplify right side
    3,457.18x = 4,460,374.78
  5. Step 5: Solve for x
    x = 4,460,374.78/3,457.18
  6. Step 6: Final answer
    x = 1,290.18

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Similar ratio
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1.5x scale

Why These Related Problems?

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