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Finding the Fourth Proportional to 20,705.40, 28,576.26 and 12,321

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Solution

The fourth proportional to 20,705.40, 28,576.26 and 12,321 is: 17,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.40 : 28,576.26 = 12,321 : x
  2. Step 2: Convert to fraction form
    20,705.40/28,576.26 = 12,321/x
  3. Step 3: Cross multiply
    20,705.40x = 28,576.26 × 12,321
  4. Step 4: Simplify right side
    20,705.40x = 352,088,099.46
  5. Step 5: Solve for x
    x = 352,088,099.46/20,705.40
  6. Step 6: Final answer
    x = 17,004.65

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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.