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Finding the Fourth Proportional to 20,384.66, 30,581.58 and 7,237.01

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Solution

The fourth proportional to 20,384.66, 30,581.58 and 7,237.01 is: 10,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384.66 : 30,581.58 = 7,237.01 : x
  2. Step 2: Convert to fraction form
    20,384.66/30,581.58 = 7,237.01/x
  3. Step 3: Cross multiply
    20,384.66x = 30,581.58 × 7,237.01
  4. Step 4: Simplify right side
    20,384.66x = 221,319,200.28
  5. Step 5: Solve for x
    x = 221,319,200.28/20,384.66
  6. Step 6: Final answer
    x = 10,857.14

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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.