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Finding the Fourth Proportional to 12,802.62, 17,666.92 and 7,213.26

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Solution

The fourth proportional to 12,802.62, 17,666.92 and 7,213.26 is: 9,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.62 : 17,666.92 = 7,213.26 : x
  2. Step 2: Convert to fraction form
    12,802.62/17,666.92 = 7,213.26/x
  3. Step 3: Cross multiply
    12,802.62x = 17,666.92 × 7,213.26
  4. Step 4: Simplify right side
    12,802.62x = 127,436,087.36
  5. Step 5: Solve for x
    x = 127,436,087.36/12,802.62
  6. Step 6: Final answer
    x = 9,953.91

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1.5x scale

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.