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Finding the Fourth Proportional to 3,897.09, 5,845.95 and 1,300.04

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Solution

The fourth proportional to 3,897.09, 5,845.95 and 1,300.04 is: 1,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.09 : 5,845.95 = 1,300.04 : x
  2. Step 2: Convert to fraction form
    3,897.09/5,845.95 = 1,300.04/x
  3. Step 3: Cross multiply
    3,897.09x = 5,845.95 × 1,300.04
  4. Step 4: Simplify right side
    3,897.09x = 7,599,939.61
  5. Step 5: Solve for x
    x = 7,599,939.61/3,897.09
  6. Step 6: Final answer
    x = 1,950.16

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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.