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Finding the Fourth Proportional to 12,957.65, 17,881.91 and 7,292.60

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Solution

The fourth proportional to 12,957.65, 17,881.91 and 7,292.60 is: 10,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.65 : 17,881.91 = 7,292.60 : x
  2. Step 2: Convert to fraction form
    12,957.65/17,881.91 = 7,292.60/x
  3. Step 3: Cross multiply
    12,957.65x = 17,881.91 × 7,292.60
  4. Step 4: Simplify right side
    12,957.65x = 130,405,625.11
  5. Step 5: Solve for x
    x = 130,405,625.11/12,957.65
  6. Step 6: Final answer
    x = 10,063.99

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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.