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Finding the Fourth Proportional to 14,509.70, 21,721.35 and 8,663.30

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Solution

The fourth proportional to 14,509.70, 21,721.35 and 8,663.30 is: 12,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.70 : 21,721.35 = 8,663.30 : x
  2. Step 2: Convert to fraction form
    14,509.70/21,721.35 = 8,663.30/x
  3. Step 3: Cross multiply
    14,509.70x = 21,721.35 × 8,663.30
  4. Step 4: Simplify right side
    14,509.70x = 188,178,571.46
  5. Step 5: Solve for x
    x = 188,178,571.46/14,509.70
  6. Step 6: Final answer
    x = 12,969.16

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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.