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Finding the Fourth Proportional to 20,291, 30,436.51 and 6,440

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Solution

The fourth proportional to 20,291, 30,436.51 and 6,440 is: 9,660.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,291 : 30,436.51 = 6,440 : x
  2. Step 2: Convert to fraction form
    20,291/30,436.51 = 6,440/x
  3. Step 3: Cross multiply
    20,291x = 30,436.51 × 6,440
  4. Step 4: Simplify right side
    20,291x = 196,011,124.40
  5. Step 5: Solve for x
    x = 196,011,124.40/20,291
  6. Step 6: Final answer
    x = 9,660.00

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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.