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Finding the Fourth Proportional to 13,990.98, 19,301.49 and 8,021.28

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Solution

The fourth proportional to 13,990.98, 19,301.49 and 8,021.28 is: 11,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990.98 : 19,301.49 = 8,021.28 : x
  2. Step 2: Convert to fraction form
    13,990.98/19,301.49 = 8,021.28/x
  3. Step 3: Cross multiply
    13,990.98x = 19,301.49 × 8,021.28
  4. Step 4: Simplify right side
    13,990.98x = 154,822,655.71
  5. Step 5: Solve for x
    x = 154,822,655.71/13,990.98
  6. Step 6: Final answer
    x = 11,065.89

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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.