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Finding the Fourth Proportional to 9,818.21, 14,702.72 and 7,749.45

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Solution

The fourth proportional to 9,818.21, 14,702.72 and 7,749.45 is: 11,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.21 : 14,702.72 = 7,749.45 : x
  2. Step 2: Convert to fraction form
    9,818.21/14,702.72 = 7,749.45/x
  3. Step 3: Cross multiply
    9,818.21x = 14,702.72 × 7,749.45
  4. Step 4: Simplify right side
    9,818.21x = 113,937,944.98
  5. Step 5: Solve for x
    x = 113,937,944.98/9,818.21
  6. Step 6: Final answer
    x = 11,604.75

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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.