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Finding the Fourth Proportional to 13,710.78, 18,921.24 and 7,742.58

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Solution

The fourth proportional to 13,710.78, 18,921.24 and 7,742.58 is: 10,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.78 : 18,921.24 = 7,742.58 : x
  2. Step 2: Convert to fraction form
    13,710.78/18,921.24 = 7,742.58/x
  3. Step 3: Cross multiply
    13,710.78x = 18,921.24 × 7,742.58
  4. Step 4: Simplify right side
    13,710.78x = 146,499,214.40
  5. Step 5: Solve for x
    x = 146,499,214.40/13,710.78
  6. Step 6: Final answer
    x = 10,684.97

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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.