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Finding the Fourth Proportional to 18,678.32, 27,998.04 and 6,986.48

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Solution

The fourth proportional to 18,678.32, 27,998.04 and 6,986.48 is: 10,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678.32 : 27,998.04 = 6,986.48 : x
  2. Step 2: Convert to fraction form
    18,678.32/27,998.04 = 6,986.48/x
  3. Step 3: Cross multiply
    18,678.32x = 27,998.04 × 6,986.48
  4. Step 4: Simplify right side
    18,678.32x = 195,607,746.50
  5. Step 5: Solve for x
    x = 195,607,746.50/18,678.32
  6. Step 6: Final answer
    x = 10,472.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.