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Finding the Fourth Proportional to 8,920.68, 12,283.06 and 7,924.23

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Solution

The fourth proportional to 8,920.68, 12,283.06 and 7,924.23 is: 10,911.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.68 : 12,283.06 = 7,924.23 : x
  2. Step 2: Convert to fraction form
    8,920.68/12,283.06 = 7,924.23/x
  3. Step 3: Cross multiply
    8,920.68x = 12,283.06 × 7,924.23
  4. Step 4: Simplify right side
    8,920.68x = 97,333,772.73
  5. Step 5: Solve for x
    x = 97,333,772.73/8,920.68
  6. Step 6: Final answer
    x = 10,911.03

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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.