Home / 1,406.91-1,937.00-1,157.80

Finding the Fourth Proportional to 1,406.91, 1,937.00 and 1,157.80

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Solution

The fourth proportional to 1,406.91, 1,937.00 and 1,157.80 is: 1,594.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.91 : 1,937.00 = 1,157.80 : x
  2. Step 2: Convert to fraction form
    1,406.91/1,937.00 = 1,157.80/x
  3. Step 3: Cross multiply
    1,406.91x = 1,937.00 × 1,157.80
  4. Step 4: Simplify right side
    1,406.91x = 2,242,659.22
  5. Step 5: Solve for x
    x = 2,242,659.22/1,406.91
  6. Step 6: Final answer
    x = 1,594.03

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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.