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Finding the Fourth Proportional to 9,383, 12,947.18 and 7,972.34

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Solution

The fourth proportional to 9,383, 12,947.18 and 7,972.34 is: 11,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383 : 12,947.18 = 7,972.34 : x
  2. Step 2: Convert to fraction form
    9,383/12,947.18 = 7,972.34/x
  3. Step 3: Cross multiply
    9,383x = 12,947.18 × 7,972.34
  4. Step 4: Simplify right side
    9,383x = 103,219,321.00
  5. Step 5: Solve for x
    x = 103,219,321.00/9,383
  6. Step 6: Final answer
    x = 11,000.67

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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.