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Finding the Fourth Proportional to 12,918.64, 17,828.04 and 7,330

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Solution

The fourth proportional to 12,918.64, 17,828.04 and 7,330 is: 10,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,918.64 : 17,828.04 = 7,330 : x
  2. Step 2: Convert to fraction form
    12,918.64/17,828.04 = 7,330/x
  3. Step 3: Cross multiply
    12,918.64x = 17,828.04 × 7,330
  4. Step 4: Simplify right side
    12,918.64x = 130,679,533.20
  5. Step 5: Solve for x
    x = 130,679,533.20/12,918.64
  6. Step 6: Final answer
    x = 10,115.58

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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.