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Finding the Fourth Proportional to 18,007.78, 27,019.47 and 9,678.07

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Solution

The fourth proportional to 18,007.78, 27,019.47 and 9,678.07 is: 14,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,007.78 : 27,019.47 = 9,678.07 : x
  2. Step 2: Convert to fraction form
    18,007.78/27,019.47 = 9,678.07/x
  3. Step 3: Cross multiply
    18,007.78x = 27,019.47 × 9,678.07
  4. Step 4: Simplify right side
    18,007.78x = 261,496,322.02
  5. Step 5: Solve for x
    x = 261,496,322.02/18,007.78
  6. Step 6: Final answer
    x = 14,521.30

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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.