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Finding the Fourth Proportional to 11,688.64, 16,130.68 and 6,384

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Solution

The fourth proportional to 11,688.64, 16,130.68 and 6,384 is: 8,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.64 : 16,130.68 = 6,384 : x
  2. Step 2: Convert to fraction form
    11,688.64/16,130.68 = 6,384/x
  3. Step 3: Cross multiply
    11,688.64x = 16,130.68 × 6,384
  4. Step 4: Simplify right side
    11,688.64x = 102,978,261.12
  5. Step 5: Solve for x
    x = 102,978,261.12/11,688.64
  6. Step 6: Final answer
    x = 8,810.11

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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.