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Finding the Fourth Proportional to 7,184.63, 10,775.70 and 1,989.29

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Solution

The fourth proportional to 7,184.63, 10,775.70 and 1,989.29 is: 2,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.63 : 10,775.70 = 1,989.29 : x
  2. Step 2: Convert to fraction form
    7,184.63/10,775.70 = 1,989.29/x
  3. Step 3: Cross multiply
    7,184.63x = 10,775.70 × 1,989.29
  4. Step 4: Simplify right side
    7,184.63x = 21,436,019.19
  5. Step 5: Solve for x
    x = 21,436,019.19/7,184.63
  6. Step 6: Final answer
    x = 2,983.59

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.