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Finding the Fourth Proportional to 12,798, 19,178.40 and 9,107.64

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Solution

The fourth proportional to 12,798, 19,178.40 and 9,107.64 is: 13,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798 : 19,178.40 = 9,107.64 : x
  2. Step 2: Convert to fraction form
    12,798/19,178.40 = 9,107.64/x
  3. Step 3: Cross multiply
    12,798x = 19,178.40 × 9,107.64
  4. Step 4: Simplify right side
    12,798x = 174,669,962.98
  5. Step 5: Solve for x
    x = 174,669,962.98/12,798
  6. Step 6: Final answer
    x = 13,648.22

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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.