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Finding the Fourth Proportional to 9,818.97, 14,728.48 and 8,085.54

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Solution

The fourth proportional to 9,818.97, 14,728.48 and 8,085.54 is: 12,128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.97 : 14,728.48 = 8,085.54 : x
  2. Step 2: Convert to fraction form
    9,818.97/14,728.48 = 8,085.54/x
  3. Step 3: Cross multiply
    9,818.97x = 14,728.48 × 8,085.54
  4. Step 4: Simplify right side
    9,818.97x = 119,087,749.20
  5. Step 5: Solve for x
    x = 119,087,749.20/9,818.97
  6. Step 6: Final answer
    x = 12,128.34

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Double scale
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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.