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Finding the Fourth Proportional to 12,699.80, 19,031.54 and 7,141.48

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Solution

The fourth proportional to 12,699.80, 19,031.54 and 7,141.48 is: 10,702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699.80 : 19,031.54 = 7,141.48 : x
  2. Step 2: Convert to fraction form
    12,699.80/19,031.54 = 7,141.48/x
  3. Step 3: Cross multiply
    12,699.80x = 19,031.54 × 7,141.48
  4. Step 4: Simplify right side
    12,699.80x = 135,913,362.28
  5. Step 5: Solve for x
    x = 135,913,362.28/12,699.80
  6. Step 6: Final answer
    x = 10,702.01

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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.