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Finding the Fourth Proportional to 1,811.51, 2,499.87 and 983.51

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Solution

The fourth proportional to 1,811.51, 2,499.87 and 983.51 is: 1,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.51 : 2,499.87 = 983.51 : x
  2. Step 2: Convert to fraction form
    1,811.51/2,499.87 = 983.51/x
  3. Step 3: Cross multiply
    1,811.51x = 2,499.87 × 983.51
  4. Step 4: Simplify right side
    1,811.51x = 2,458,647.14
  5. Step 5: Solve for x
    x = 2,458,647.14/1,811.51
  6. Step 6: Final answer
    x = 1,357.24

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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.