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Finding the Fourth Proportional to 3,897.30, 5,845.96 and 975.60

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Solution

The fourth proportional to 3,897.30, 5,845.96 and 975.60 is: 1,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.30 : 5,845.96 = 975.60 : x
  2. Step 2: Convert to fraction form
    3,897.30/5,845.96 = 975.60/x
  3. Step 3: Cross multiply
    3,897.30x = 5,845.96 × 975.60
  4. Step 4: Simplify right side
    3,897.30x = 5,703,318.58
  5. Step 5: Solve for x
    x = 5,703,318.58/3,897.30
  6. Step 6: Final answer
    x = 1,463.40

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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.