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Finding the Fourth Proportional to 13,137, 18,129.80 and 7,548.36

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Solution

The fourth proportional to 13,137, 18,129.80 and 7,548.36 is: 10,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137 : 18,129.80 = 7,548.36 : x
  2. Step 2: Convert to fraction form
    13,137/18,129.80 = 7,548.36/x
  3. Step 3: Cross multiply
    13,137x = 18,129.80 × 7,548.36
  4. Step 4: Simplify right side
    13,137x = 136,850,257.13
  5. Step 5: Solve for x
    x = 136,850,257.13/13,137
  6. Step 6: Final answer
    x = 10,417.16

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1.5x scale

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.