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Finding the Fourth Proportional to 7,228.40, 9,974.80 and 4,671.68

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Solution

The fourth proportional to 7,228.40, 9,974.80 and 4,671.68 is: 6,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.40 : 9,974.80 = 4,671.68 : x
  2. Step 2: Convert to fraction form
    7,228.40/9,974.80 = 4,671.68/x
  3. Step 3: Cross multiply
    7,228.40x = 9,974.80 × 4,671.68
  4. Step 4: Simplify right side
    7,228.40x = 46,599,073.66
  5. Step 5: Solve for x
    x = 46,599,073.66/7,228.40
  6. Step 6: Final answer
    x = 6,446.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.