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Finding the Fourth Proportional to 13,748, 18,974.40 and 8,157.92

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Solution

The fourth proportional to 13,748, 18,974.40 and 8,157.92 is: 11,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,748 : 18,974.40 = 8,157.92 : x
  2. Step 2: Convert to fraction form
    13,748/18,974.40 = 8,157.92/x
  3. Step 3: Cross multiply
    13,748x = 18,974.40 × 8,157.92
  4. Step 4: Simplify right side
    13,748x = 154,791,637.25
  5. Step 5: Solve for x
    x = 154,791,637.25/13,748
  6. Step 6: Final answer
    x = 11,259.21

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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.