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Finding the Fourth Proportional to 4,208, 6,312.74 and 1,397

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Solution

The fourth proportional to 4,208, 6,312.74 and 1,397 is: 2,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208 : 6,312.74 = 1,397 : x
  2. Step 2: Convert to fraction form
    4,208/6,312.74 = 1,397/x
  3. Step 3: Cross multiply
    4,208x = 6,312.74 × 1,397
  4. Step 4: Simplify right side
    4,208x = 8,818,897.78
  5. Step 5: Solve for x
    x = 8,818,897.78/4,208
  6. Step 6: Final answer
    x = 2,095.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.