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Finding the Fourth Proportional to 13,090.32, 18,064.32 and 7,122

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Solution

The fourth proportional to 13,090.32, 18,064.32 and 7,122 is: 9,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.32 : 18,064.32 = 7,122 : x
  2. Step 2: Convert to fraction form
    13,090.32/18,064.32 = 7,122/x
  3. Step 3: Cross multiply
    13,090.32x = 18,064.32 × 7,122
  4. Step 4: Simplify right side
    13,090.32x = 128,654,087.04
  5. Step 5: Solve for x
    x = 128,654,087.04/13,090.32
  6. Step 6: Final answer
    x = 9,828.19

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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.