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Finding the Fourth Proportional to 3,897.48, 5,846.22 and 975.78

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Solution

The fourth proportional to 3,897.48, 5,846.22 and 975.78 is: 1,463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.48 : 5,846.22 = 975.78 : x
  2. Step 2: Convert to fraction form
    3,897.48/5,846.22 = 975.78/x
  3. Step 3: Cross multiply
    3,897.48x = 5,846.22 × 975.78
  4. Step 4: Simplify right side
    3,897.48x = 5,704,624.55
  5. Step 5: Solve for x
    x = 5,704,624.55/3,897.48
  6. Step 6: Final answer
    x = 1,463.67

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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.