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Finding the Fourth Proportional to 1,739.91, 2,400.47 and 993.34

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Solution

The fourth proportional to 1,739.91, 2,400.47 and 993.34 is: 1,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.91 : 2,400.47 = 993.34 : x
  2. Step 2: Convert to fraction form
    1,739.91/2,400.47 = 993.34/x
  3. Step 3: Cross multiply
    1,739.91x = 2,400.47 × 993.34
  4. Step 4: Simplify right side
    1,739.91x = 2,384,482.87
  5. Step 5: Solve for x
    x = 2,384,482.87/1,739.91
  6. Step 6: Final answer
    x = 1,370.46

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1.5x scale

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.