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Finding the Fourth Proportional to 3,162.53, 4,743.80 and 854.03

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Solution

The fourth proportional to 3,162.53, 4,743.80 and 854.03 is: 1,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.53 : 4,743.80 = 854.03 : x
  2. Step 2: Convert to fraction form
    3,162.53/4,743.80 = 854.03/x
  3. Step 3: Cross multiply
    3,162.53x = 4,743.80 × 854.03
  4. Step 4: Simplify right side
    3,162.53x = 4,051,347.51
  5. Step 5: Solve for x
    x = 4,051,347.51/3,162.53
  6. Step 6: Final answer
    x = 1,281.05

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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.