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Finding the Fourth Proportional to 21,462.98, 29,619.68 and 12,509.03

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Solution

The fourth proportional to 21,462.98, 29,619.68 and 12,509.03 is: 17,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.98 : 29,619.68 = 12,509.03 : x
  2. Step 2: Convert to fraction form
    21,462.98/29,619.68 = 12,509.03/x
  3. Step 3: Cross multiply
    21,462.98x = 29,619.68 × 12,509.03
  4. Step 4: Simplify right side
    21,462.98x = 370,513,477.21
  5. Step 5: Solve for x
    x = 370,513,477.21/21,462.98
  6. Step 6: Final answer
    x = 17,262.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.