Home / 1,409.09-2,111.36-945.14

Finding the Fourth Proportional to 1,409.09, 2,111.36 and 945.14

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Solution

The fourth proportional to 1,409.09, 2,111.36 and 945.14 is: 1,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.09 : 2,111.36 = 945.14 : x
  2. Step 2: Convert to fraction form
    1,409.09/2,111.36 = 945.14/x
  3. Step 3: Cross multiply
    1,409.09x = 2,111.36 × 945.14
  4. Step 4: Simplify right side
    1,409.09x = 1,995,515.51
  5. Step 5: Solve for x
    x = 1,995,515.51/1,409.09
  6. Step 6: Final answer
    x = 1,416.18

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Double scale
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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.