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Finding the Fourth Proportional to 2,188.50, 3,020.13 and 1,257

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Solution

The fourth proportional to 2,188.50, 3,020.13 and 1,257 is: 1,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.50 : 3,020.13 = 1,257 : x
  2. Step 2: Convert to fraction form
    2,188.50/3,020.13 = 1,257/x
  3. Step 3: Cross multiply
    2,188.50x = 3,020.13 × 1,257
  4. Step 4: Simplify right side
    2,188.50x = 3,796,303.41
  5. Step 5: Solve for x
    x = 3,796,303.41/2,188.50
  6. Step 6: Final answer
    x = 1,734.66

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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.