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Finding the Fourth Proportional to 11,392, 17,088.64 and 3,184.64

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Solution

The fourth proportional to 11,392, 17,088.64 and 3,184.64 is: 4,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392 : 17,088.64 = 3,184.64 : x
  2. Step 2: Convert to fraction form
    11,392/17,088.64 = 3,184.64/x
  3. Step 3: Cross multiply
    11,392x = 17,088.64 × 3,184.64
  4. Step 4: Simplify right side
    11,392x = 54,421,166.49
  5. Step 5: Solve for x
    x = 54,421,166.49/11,392
  6. Step 6: Final answer
    x = 4,777.14

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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.