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Finding the Fourth Proportional to 14,428.88, 21,630.49 and 7,769.01

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Solution

The fourth proportional to 14,428.88, 21,630.49 and 7,769.01 is: 11,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.88 : 21,630.49 = 7,769.01 : x
  2. Step 2: Convert to fraction form
    14,428.88/21,630.49 = 7,769.01/x
  3. Step 3: Cross multiply
    14,428.88x = 21,630.49 × 7,769.01
  4. Step 4: Simplify right side
    14,428.88x = 168,047,598.51
  5. Step 5: Solve for x
    x = 168,047,598.51/14,428.88
  6. Step 6: Final answer
    x = 11,646.61

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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.