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Finding the Fourth Proportional to 13,384.01, 20,079.20 and 4,619.00

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Solution

The fourth proportional to 13,384.01, 20,079.20 and 4,619.00 is: 6,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.01 : 20,079.20 = 4,619.00 : x
  2. Step 2: Convert to fraction form
    13,384.01/20,079.20 = 4,619.00/x
  3. Step 3: Cross multiply
    13,384.01x = 20,079.20 × 4,619.00
  4. Step 4: Simplify right side
    13,384.01x = 92,745,718.63
  5. Step 5: Solve for x
    x = 92,745,718.63/13,384.01
  6. Step 6: Final answer
    x = 6,929.59

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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.