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Finding the Fourth Proportional to 9,820.09, 14,730.14 and 8,085.07

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Solution

The fourth proportional to 9,820.09, 14,730.14 and 8,085.07 is: 12,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.09 : 14,730.14 = 8,085.07 : x
  2. Step 2: Convert to fraction form
    9,820.09/14,730.14 = 8,085.07/x
  3. Step 3: Cross multiply
    9,820.09x = 14,730.14 × 8,085.07
  4. Step 4: Simplify right side
    9,820.09x = 119,094,249.84
  5. Step 5: Solve for x
    x = 119,094,249.84/9,820.09
  6. Step 6: Final answer
    x = 12,127.61

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Similar ratio
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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.