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Finding the Fourth Proportional to 12,802.68, 17,657.46 and 8,822.88

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Solution

The fourth proportional to 12,802.68, 17,657.46 and 8,822.88 is: 12,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.68 : 17,657.46 = 8,822.88 : x
  2. Step 2: Convert to fraction form
    12,802.68/17,657.46 = 8,822.88/x
  3. Step 3: Cross multiply
    12,802.68x = 17,657.46 × 8,822.88
  4. Step 4: Simplify right side
    12,802.68x = 155,789,650.68
  5. Step 5: Solve for x
    x = 155,789,650.68/12,802.68
  6. Step 6: Final answer
    x = 12,168.52

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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.