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Finding the Fourth Proportional to 8,483.76, 12,731.81 and 6,406.34

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Solution

The fourth proportional to 8,483.76, 12,731.81 and 6,406.34 is: 9,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.76 : 12,731.81 = 6,406.34 : x
  2. Step 2: Convert to fraction form
    8,483.76/12,731.81 = 6,406.34/x
  3. Step 3: Cross multiply
    8,483.76x = 12,731.81 × 6,406.34
  4. Step 4: Simplify right side
    8,483.76x = 81,564,207.98
  5. Step 5: Solve for x
    x = 81,564,207.98/8,483.76
  6. Step 6: Final answer
    x = 9,614.16

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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.