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Finding the Fourth Proportional to 3,457.64, 5,186.47 and 860.58

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Solution

The fourth proportional to 3,457.64, 5,186.47 and 860.58 is: 1,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.64 : 5,186.47 = 860.58 : x
  2. Step 2: Convert to fraction form
    3,457.64/5,186.47 = 860.58/x
  3. Step 3: Cross multiply
    3,457.64x = 5,186.47 × 860.58
  4. Step 4: Simplify right side
    3,457.64x = 4,463,368.05
  5. Step 5: Solve for x
    x = 4,463,368.05/3,457.64
  6. Step 6: Final answer
    x = 1,290.87

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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.