Home / 2,806.42-3,872.64-1,547.28

Finding the Fourth Proportional to 2,806.42, 3,872.64 and 1,547.28

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Solution

The fourth proportional to 2,806.42, 3,872.64 and 1,547.28 is: 2,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.42 : 3,872.64 = 1,547.28 : x
  2. Step 2: Convert to fraction form
    2,806.42/3,872.64 = 1,547.28/x
  3. Step 3: Cross multiply
    2,806.42x = 3,872.64 × 1,547.28
  4. Step 4: Simplify right side
    2,806.42x = 5,992,058.42
  5. Step 5: Solve for x
    x = 5,992,058.42/2,806.42
  6. Step 6: Final answer
    x = 2,135.13

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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.