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Finding the Fourth Proportional to 20,532.63, 30,803.56 and 7,385

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Solution

The fourth proportional to 20,532.63, 30,803.56 and 7,385 is: 11,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.63 : 30,803.56 = 7,385 : x
  2. Step 2: Convert to fraction form
    20,532.63/30,803.56 = 7,385/x
  3. Step 3: Cross multiply
    20,532.63x = 30,803.56 × 7,385
  4. Step 4: Simplify right side
    20,532.63x = 227,484,290.60
  5. Step 5: Solve for x
    x = 227,484,290.60/20,532.63
  6. Step 6: Final answer
    x = 11,079.16

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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.