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Finding the Fourth Proportional to 13,749, 18,978.54 and 8,160

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Solution

The fourth proportional to 13,749, 18,978.54 and 8,160 is: 11,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749 : 18,978.54 = 8,160 : x
  2. Step 2: Convert to fraction form
    13,749/18,978.54 = 8,160/x
  3. Step 3: Cross multiply
    13,749x = 18,978.54 × 8,160
  4. Step 4: Simplify right side
    13,749x = 154,864,886.40
  5. Step 5: Solve for x
    x = 154,864,886.40/13,749
  6. Step 6: Final answer
    x = 11,263.72

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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.