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Finding the Fourth Proportional to 12,607.36, 17,397.48 and 7,018

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Solution

The fourth proportional to 12,607.36, 17,397.48 and 7,018 is: 9,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.36 : 17,397.48 = 7,018 : x
  2. Step 2: Convert to fraction form
    12,607.36/17,397.48 = 7,018/x
  3. Step 3: Cross multiply
    12,607.36x = 17,397.48 × 7,018
  4. Step 4: Simplify right side
    12,607.36x = 122,095,514.64
  5. Step 5: Solve for x
    x = 122,095,514.64/12,607.36
  6. Step 6: Final answer
    x = 9,684.46

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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.