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Finding the Fourth Proportional to 9,771.70, 14,648.22 and 4,219.54

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Solution

The fourth proportional to 9,771.70, 14,648.22 and 4,219.54 is: 6,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.70 : 14,648.22 = 4,219.54 : x
  2. Step 2: Convert to fraction form
    9,771.70/14,648.22 = 4,219.54/x
  3. Step 3: Cross multiply
    9,771.70x = 14,648.22 × 4,219.54
  4. Step 4: Simplify right side
    9,771.70x = 61,808,750.22
  5. Step 5: Solve for x
    x = 61,808,750.22/9,771.70
  6. Step 6: Final answer
    x = 6,325.28

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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.