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Finding the Fourth Proportional to 2,571, 3,547.80 and 1,576.50

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Solution

The fourth proportional to 2,571, 3,547.80 and 1,576.50 is: 2,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571 : 3,547.80 = 1,576.50 : x
  2. Step 2: Convert to fraction form
    2,571/3,547.80 = 1,576.50/x
  3. Step 3: Cross multiply
    2,571x = 3,547.80 × 1,576.50
  4. Step 4: Simplify right side
    2,571x = 5,593,106.70
  5. Step 5: Solve for x
    x = 5,593,106.70/2,571
  6. Step 6: Final answer
    x = 2,175.46

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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.