Home / 1,116.09-1,670.40-921.06

Finding the Fourth Proportional to 1,116.09, 1,670.40 and 921.06

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Solution

The fourth proportional to 1,116.09, 1,670.40 and 921.06 is: 1,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.09 : 1,670.40 = 921.06 : x
  2. Step 2: Convert to fraction form
    1,116.09/1,670.40 = 921.06/x
  3. Step 3: Cross multiply
    1,116.09x = 1,670.40 × 921.06
  4. Step 4: Simplify right side
    1,116.09x = 1,538,538.62
  5. Step 5: Solve for x
    x = 1,538,538.62/1,116.09
  6. Step 6: Final answer
    x = 1,378.51

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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.