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Finding the Fourth Proportional to 1,182.63, 1,782.26 and 1,127.07

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Solution

The fourth proportional to 1,182.63, 1,782.26 and 1,127.07 is: 1,698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.63 : 1,782.26 = 1,127.07 : x
  2. Step 2: Convert to fraction form
    1,182.63/1,782.26 = 1,127.07/x
  3. Step 3: Cross multiply
    1,182.63x = 1,782.26 × 1,127.07
  4. Step 4: Simplify right side
    1,182.63x = 2,008,726.14
  5. Step 5: Solve for x
    x = 2,008,726.14/1,182.63
  6. Step 6: Final answer
    x = 1,698.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.