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Finding the Fourth Proportional to 13,776.78, 19,013.56 and 7,728.68

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Solution

The fourth proportional to 13,776.78, 19,013.56 and 7,728.68 is: 10,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.78 : 19,013.56 = 7,728.68 : x
  2. Step 2: Convert to fraction form
    13,776.78/19,013.56 = 7,728.68/x
  3. Step 3: Cross multiply
    13,776.78x = 19,013.56 × 7,728.68
  4. Step 4: Simplify right side
    13,776.78x = 146,949,720.90
  5. Step 5: Solve for x
    x = 146,949,720.90/13,776.78
  6. Step 6: Final answer
    x = 10,666.48

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1.5x scale

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.