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Finding the Fourth Proportional to 1,583.87, 2,186.09 and 921.10

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Solution

The fourth proportional to 1,583.87, 2,186.09 and 921.10 is: 1,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.87 : 2,186.09 = 921.10 : x
  2. Step 2: Convert to fraction form
    1,583.87/2,186.09 = 921.10/x
  3. Step 3: Cross multiply
    1,583.87x = 2,186.09 × 921.10
  4. Step 4: Simplify right side
    1,583.87x = 2,013,608.36
  5. Step 5: Solve for x
    x = 2,013,608.36/1,583.87
  6. Step 6: Final answer
    x = 1,271.32

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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.