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Finding the Fourth Proportional to 11,798.40, 17,698.40 and 4,007.80

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Solution

The fourth proportional to 11,798.40, 17,698.40 and 4,007.80 is: 6,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.40 : 17,698.40 = 4,007.80 : x
  2. Step 2: Convert to fraction form
    11,798.40/17,698.40 = 4,007.80/x
  3. Step 3: Cross multiply
    11,798.40x = 17,698.40 × 4,007.80
  4. Step 4: Simplify right side
    11,798.40x = 70,931,647.52
  5. Step 5: Solve for x
    x = 70,931,647.52/11,798.40
  6. Step 6: Final answer
    x = 6,011.97

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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.