Home / 2,045.64-2,822.68-1,206.16

Finding the Fourth Proportional to 2,045.64, 2,822.68 and 1,206.16

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Solution

The fourth proportional to 2,045.64, 2,822.68 and 1,206.16 is: 1,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.64 : 2,822.68 = 1,206.16 : x
  2. Step 2: Convert to fraction form
    2,045.64/2,822.68 = 1,206.16/x
  3. Step 3: Cross multiply
    2,045.64x = 2,822.68 × 1,206.16
  4. Step 4: Simplify right side
    2,045.64x = 3,404,603.71
  5. Step 5: Solve for x
    x = 3,404,603.71/2,045.64
  6. Step 6: Final answer
    x = 1,664.32

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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.