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Finding the Fourth Proportional to 14,470.83, 19,988.49 and 9,986.67

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Solution

The fourth proportional to 14,470.83, 19,988.49 and 9,986.67 is: 13,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.83 : 19,988.49 = 9,986.67 : x
  2. Step 2: Convert to fraction form
    14,470.83/19,988.49 = 9,986.67/x
  3. Step 3: Cross multiply
    14,470.83x = 19,988.49 × 9,986.67
  4. Step 4: Simplify right side
    14,470.83x = 199,618,453.43
  5. Step 5: Solve for x
    x = 199,618,453.43/14,470.83
  6. Step 6: Final answer
    x = 13,794.54

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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.