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Finding the Fourth Proportional to 9,812.64, 13,536 and 6,456

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Solution

The fourth proportional to 9,812.64, 13,536 and 6,456 is: 8,905.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.64 : 13,536 = 6,456 : x
  2. Step 2: Convert to fraction form
    9,812.64/13,536 = 6,456/x
  3. Step 3: Cross multiply
    9,812.64x = 13,536 × 6,456
  4. Step 4: Simplify right side
    9,812.64x = 87,388,416
  5. Step 5: Solve for x
    x = 87,388,416/9,812.64
  6. Step 6: Final answer
    x = 8,905.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.