Home / 1,918.13-2,875.21-823.19

Finding the Fourth Proportional to 1,918.13, 2,875.21 and 823.19

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Solution

The fourth proportional to 1,918.13, 2,875.21 and 823.19 is: 1,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.13 : 2,875.21 = 823.19 : x
  2. Step 2: Convert to fraction form
    1,918.13/2,875.21 = 823.19/x
  3. Step 3: Cross multiply
    1,918.13x = 2,875.21 × 823.19
  4. Step 4: Simplify right side
    1,918.13x = 2,366,827.69
  5. Step 5: Solve for x
    x = 2,366,827.69/1,918.13
  6. Step 6: Final answer
    x = 1,233.93

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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.