Home / 1,693.08-2,336.42-947.01

Finding the Fourth Proportional to 1,693.08, 2,336.42 and 947.01

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Solution

The fourth proportional to 1,693.08, 2,336.42 and 947.01 is: 1,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.08 : 2,336.42 = 947.01 : x
  2. Step 2: Convert to fraction form
    1,693.08/2,336.42 = 947.01/x
  3. Step 3: Cross multiply
    1,693.08x = 2,336.42 × 947.01
  4. Step 4: Simplify right side
    1,693.08x = 2,212,608.37
  5. Step 5: Solve for x
    x = 2,212,608.37/1,693.08
  6. Step 6: Final answer
    x = 1,306.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.