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Finding the Fourth Proportional to 1,620, 2,235.69 and 921.42

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Solution

The fourth proportional to 1,620, 2,235.69 and 921.42 is: 1,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620 : 2,235.69 = 921.42 : x
  2. Step 2: Convert to fraction form
    1,620/2,235.69 = 921.42/x
  3. Step 3: Cross multiply
    1,620x = 2,235.69 × 921.42
  4. Step 4: Simplify right side
    1,620x = 2,060,009.48
  5. Step 5: Solve for x
    x = 2,060,009.48/1,620
  6. Step 6: Final answer
    x = 1,271.61

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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.