Home / 13,142-19,812.08-12,296.36

Finding the Fourth Proportional to 13,142, 19,812.08 and 12,296.36

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Solution

The fourth proportional to 13,142, 19,812.08 and 12,296.36 is: 18,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142 : 19,812.08 = 12,296.36 : x
  2. Step 2: Convert to fraction form
    13,142/19,812.08 = 12,296.36/x
  3. Step 3: Cross multiply
    13,142x = 19,812.08 × 12,296.36
  4. Step 4: Simplify right side
    13,142x = 243,616,468.03
  5. Step 5: Solve for x
    x = 243,616,468.03/13,142
  6. Step 6: Final answer
    x = 18,537.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.