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Finding the Fourth Proportional to 20,295.83, 30,449.90 and 14,384.16

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Solution

The fourth proportional to 20,295.83, 30,449.90 and 14,384.16 is: 21,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.83 : 30,449.90 = 14,384.16 : x
  2. Step 2: Convert to fraction form
    20,295.83/30,449.90 = 14,384.16/x
  3. Step 3: Cross multiply
    20,295.83x = 30,449.90 × 14,384.16
  4. Step 4: Simplify right side
    20,295.83x = 437,996,269.54
  5. Step 5: Solve for x
    x = 437,996,269.54/20,295.83
  6. Step 6: Final answer
    x = 21,580.60

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1.5x scale

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.