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Finding the Fourth Proportional to 11,987.36, 17,970 and 5,058.08

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Solution

The fourth proportional to 11,987.36, 17,970 and 5,058.08 is: 7,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.36 : 17,970 = 5,058.08 : x
  2. Step 2: Convert to fraction form
    11,987.36/17,970 = 5,058.08/x
  3. Step 3: Cross multiply
    11,987.36x = 17,970 × 5,058.08
  4. Step 4: Simplify right side
    11,987.36x = 90,893,697.60
  5. Step 5: Solve for x
    x = 90,893,697.60/11,987.36
  6. Step 6: Final answer
    x = 7,582.46

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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.