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Finding the Fourth Proportional to 9,820.22, 14,730.33 and 8,085.20

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Solution

The fourth proportional to 9,820.22, 14,730.33 and 8,085.20 is: 12,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.22 : 14,730.33 = 8,085.20 : x
  2. Step 2: Convert to fraction form
    9,820.22/14,730.33 = 8,085.20/x
  3. Step 3: Cross multiply
    9,820.22x = 14,730.33 × 8,085.20
  4. Step 4: Simplify right side
    9,820.22x = 119,097,664.12
  5. Step 5: Solve for x
    x = 119,097,664.12/9,820.22
  6. Step 6: Final answer
    x = 12,127.80

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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.