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Finding the Fourth Proportional to 13,491.48, 20,220.66 and 7,653

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Solution

The fourth proportional to 13,491.48, 20,220.66 and 7,653 is: 11,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.48 : 20,220.66 = 7,653 : x
  2. Step 2: Convert to fraction form
    13,491.48/20,220.66 = 7,653/x
  3. Step 3: Cross multiply
    13,491.48x = 20,220.66 × 7,653
  4. Step 4: Simplify right side
    13,491.48x = 154,748,710.98
  5. Step 5: Solve for x
    x = 154,748,710.98/13,491.48
  6. Step 6: Final answer
    x = 11,470.11

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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.