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Finding the Fourth Proportional to 2,598.45, 3,897.69 and 867.07

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Solution

The fourth proportional to 2,598.45, 3,897.69 and 867.07 is: 1,300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.45 : 3,897.69 = 867.07 : x
  2. Step 2: Convert to fraction form
    2,598.45/3,897.69 = 867.07/x
  3. Step 3: Cross multiply
    2,598.45x = 3,897.69 × 867.07
  4. Step 4: Simplify right side
    2,598.45x = 3,379,570.07
  5. Step 5: Solve for x
    x = 3,379,570.07/2,598.45
  6. Step 6: Final answer
    x = 1,300.61

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Double scale
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Similar ratio
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1.5x scale

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.