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Finding the Fourth Proportional to 6,402.42, 9,602.83 and 2,019.50

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Solution

The fourth proportional to 6,402.42, 9,602.83 and 2,019.50 is: 3,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.42 : 9,602.83 = 2,019.50 : x
  2. Step 2: Convert to fraction form
    6,402.42/9,602.83 = 2,019.50/x
  3. Step 3: Cross multiply
    6,402.42x = 9,602.83 × 2,019.50
  4. Step 4: Simplify right side
    6,402.42x = 19,392,915.19
  5. Step 5: Solve for x
    x = 19,392,915.19/6,402.42
  6. Step 6: Final answer
    x = 3,029.00

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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.