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Finding the Fourth Proportional to 10,415.79, 15,620.00 and 3,393.90

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Solution

The fourth proportional to 10,415.79, 15,620.00 and 3,393.90 is: 5,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.79 : 15,620.00 = 3,393.90 : x
  2. Step 2: Convert to fraction form
    10,415.79/15,620.00 = 3,393.90/x
  3. Step 3: Cross multiply
    10,415.79x = 15,620.00 × 3,393.90
  4. Step 4: Simplify right side
    10,415.79x = 53,012,701.03
  5. Step 5: Solve for x
    x = 53,012,701.03/10,415.79
  6. Step 6: Final answer
    x = 5,089.65

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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.