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Finding the Fourth Proportional to 14,129.35, 19,487.94 and 9,646

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Solution

The fourth proportional to 14,129.35, 19,487.94 and 9,646 is: 13,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.35 : 19,487.94 = 9,646 : x
  2. Step 2: Convert to fraction form
    14,129.35/19,487.94 = 9,646/x
  3. Step 3: Cross multiply
    14,129.35x = 19,487.94 × 9,646
  4. Step 4: Simplify right side
    14,129.35x = 187,980,669.24
  5. Step 5: Solve for x
    x = 187,980,669.24/14,129.35
  6. Step 6: Final answer
    x = 13,304.27

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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.