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Finding the Fourth Proportional to 2,547, 3,512.46 and 2,348.44

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Solution

The fourth proportional to 2,547, 3,512.46 and 2,348.44 is: 3,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547 : 3,512.46 = 2,348.44 : x
  2. Step 2: Convert to fraction form
    2,547/3,512.46 = 2,348.44/x
  3. Step 3: Cross multiply
    2,547x = 3,512.46 × 2,348.44
  4. Step 4: Simplify right side
    2,547x = 8,248,801.56
  5. Step 5: Solve for x
    x = 8,248,801.56/2,547
  6. Step 6: Final answer
    x = 3,238.63

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1.5x scale

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.