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Finding the Fourth Proportional to 14,428.40, 21,642.47 and 7,768.01

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Solution

The fourth proportional to 14,428.40, 21,642.47 and 7,768.01 is: 11,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.40 : 21,642.47 = 7,768.01 : x
  2. Step 2: Convert to fraction form
    14,428.40/21,642.47 = 7,768.01/x
  3. Step 3: Cross multiply
    14,428.40x = 21,642.47 × 7,768.01
  4. Step 4: Simplify right side
    14,428.40x = 168,118,938.65
  5. Step 5: Solve for x
    x = 168,118,938.65/14,428.40
  6. Step 6: Final answer
    x = 11,651.94

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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.