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Finding the Fourth Proportional to 13,892.65, 19,180.79 and 12,398.00

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Solution

The fourth proportional to 13,892.65, 19,180.79 and 12,398.00 is: 17,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.65 : 19,180.79 = 12,398.00 : x
  2. Step 2: Convert to fraction form
    13,892.65/19,180.79 = 12,398.00/x
  3. Step 3: Cross multiply
    13,892.65x = 19,180.79 × 12,398.00
  4. Step 4: Simplify right side
    13,892.65x = 237,803,369.51
  5. Step 5: Solve for x
    x = 237,803,369.51/13,892.65
  6. Step 6: Final answer
    x = 17,117.21

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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.