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Finding the Fourth Proportional to 15,085.92, 20,817.63 and 9,114.06

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Solution

The fourth proportional to 15,085.92, 20,817.63 and 9,114.06 is: 12,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,085.92 : 20,817.63 = 9,114.06 : x
  2. Step 2: Convert to fraction form
    15,085.92/20,817.63 = 9,114.06/x
  3. Step 3: Cross multiply
    15,085.92x = 20,817.63 × 9,114.06
  4. Step 4: Simplify right side
    15,085.92x = 189,733,128.88
  5. Step 5: Solve for x
    x = 189,733,128.88/15,085.92
  6. Step 6: Final answer
    x = 12,576.84

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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.