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Finding the Fourth Proportional to 12,730, 17,567.64 and 7,141.36

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Solution

The fourth proportional to 12,730, 17,567.64 and 7,141.36 is: 9,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730 : 17,567.64 = 7,141.36 : x
  2. Step 2: Convert to fraction form
    12,730/17,567.64 = 7,141.36/x
  3. Step 3: Cross multiply
    12,730x = 17,567.64 × 7,141.36
  4. Step 4: Simplify right side
    12,730x = 125,456,841.59
  5. Step 5: Solve for x
    x = 125,456,841.59/12,730
  6. Step 6: Final answer
    x = 9,855.21

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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.