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Finding the Fourth Proportional to 20,289.60, 30,384.70 and 16,758

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Solution

The fourth proportional to 20,289.60, 30,384.70 and 16,758 is: 25,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,289.60 : 30,384.70 = 16,758 : x
  2. Step 2: Convert to fraction form
    20,289.60/30,384.70 = 16,758/x
  3. Step 3: Cross multiply
    20,289.60x = 30,384.70 × 16,758
  4. Step 4: Simplify right side
    20,289.60x = 509,186,802.60
  5. Step 5: Solve for x
    x = 509,186,802.60/20,289.60
  6. Step 6: Final answer
    x = 25,095.95

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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.