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Finding the Fourth Proportional to 14,491.32, 21,721.30 and 7,100.76

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Solution

The fourth proportional to 14,491.32, 21,721.30 and 7,100.76 is: 10,643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.32 : 21,721.30 = 7,100.76 : x
  2. Step 2: Convert to fraction form
    14,491.32/21,721.30 = 7,100.76/x
  3. Step 3: Cross multiply
    14,491.32x = 21,721.30 × 7,100.76
  4. Step 4: Simplify right side
    14,491.32x = 154,237,738.19
  5. Step 5: Solve for x
    x = 154,237,738.19/14,491.32
  6. Step 6: Final answer
    x = 10,643.46

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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.