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Finding the Fourth Proportional to 2,571, 3,547.97 and 1,392.07

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Solution

The fourth proportional to 2,571, 3,547.97 and 1,392.07 is: 1,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571 : 3,547.97 = 1,392.07 : x
  2. Step 2: Convert to fraction form
    2,571/3,547.97 = 1,392.07/x
  3. Step 3: Cross multiply
    2,571x = 3,547.97 × 1,392.07
  4. Step 4: Simplify right side
    2,571x = 4,939,022.60
  5. Step 5: Solve for x
    x = 4,939,022.60/2,571
  6. Step 6: Final answer
    x = 1,921.05

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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.