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Finding the Fourth Proportional to 13,058, 19,588.20 and 5,160.08

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Solution

The fourth proportional to 13,058, 19,588.20 and 5,160.08 is: 7,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058 : 19,588.20 = 5,160.08 : x
  2. Step 2: Convert to fraction form
    13,058/19,588.20 = 5,160.08/x
  3. Step 3: Cross multiply
    13,058x = 19,588.20 × 5,160.08
  4. Step 4: Simplify right side
    13,058x = 101,076,679.06
  5. Step 5: Solve for x
    x = 101,076,679.06/13,058
  6. Step 6: Final answer
    x = 7,740.59

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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.