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Finding the Fourth Proportional to 13,754, 18,978.32 and 7,783.76

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Solution

The fourth proportional to 13,754, 18,978.32 and 7,783.76 is: 10,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754 : 18,978.32 = 7,783.76 : x
  2. Step 2: Convert to fraction form
    13,754/18,978.32 = 7,783.76/x
  3. Step 3: Cross multiply
    13,754x = 18,978.32 × 7,783.76
  4. Step 4: Simplify right side
    13,754x = 147,722,688.08
  5. Step 5: Solve for x
    x = 147,722,688.08/13,754
  6. Step 6: Final answer
    x = 10,740.34

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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.