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Finding the Fourth Proportional to 12,584.54, 17,359.84 and 7,802.87

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Solution

The fourth proportional to 12,584.54, 17,359.84 and 7,802.87 is: 10,763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.54 : 17,359.84 = 7,802.87 : x
  2. Step 2: Convert to fraction form
    12,584.54/17,359.84 = 7,802.87/x
  3. Step 3: Cross multiply
    12,584.54x = 17,359.84 × 7,802.87
  4. Step 4: Simplify right side
    12,584.54x = 135,456,598.63
  5. Step 5: Solve for x
    x = 135,456,598.63/12,584.54
  6. Step 6: Final answer
    x = 10,763.73

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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.