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Finding the Fourth Proportional to 1,409.01, 2,111.16 and 1,162.97

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Solution

The fourth proportional to 1,409.01, 2,111.16 and 1,162.97 is: 1,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.01 : 2,111.16 = 1,162.97 : x
  2. Step 2: Convert to fraction form
    1,409.01/2,111.16 = 1,162.97/x
  3. Step 3: Cross multiply
    1,409.01x = 2,111.16 × 1,162.97
  4. Step 4: Simplify right side
    1,409.01x = 2,455,205.19
  5. Step 5: Solve for x
    x = 2,455,205.19/1,409.01
  6. Step 6: Final answer
    x = 1,742.50

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1.5x scale

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.