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Finding the Fourth Proportional to 14,428.29, 21,642.45 and 7,867.29

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Solution

The fourth proportional to 14,428.29, 21,642.45 and 7,867.29 is: 11,800.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.29 : 21,642.45 = 7,867.29 : x
  2. Step 2: Convert to fraction form
    14,428.29/21,642.45 = 7,867.29/x
  3. Step 3: Cross multiply
    14,428.29x = 21,642.45 × 7,867.29
  4. Step 4: Simplify right side
    14,428.29x = 170,267,430.46
  5. Step 5: Solve for x
    x = 170,267,430.46/14,428.29
  6. Step 6: Final answer
    x = 11,800.94

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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.