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Finding the Fourth Proportional to 2,157.34, 3,235.48 and 924.61

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Solution

The fourth proportional to 2,157.34, 3,235.48 and 924.61 is: 1,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.34 : 3,235.48 = 924.61 : x
  2. Step 2: Convert to fraction form
    2,157.34/3,235.48 = 924.61/x
  3. Step 3: Cross multiply
    2,157.34x = 3,235.48 × 924.61
  4. Step 4: Simplify right side
    2,157.34x = 2,991,552.54
  5. Step 5: Solve for x
    x = 2,991,552.54/2,157.34
  6. Step 6: Final answer
    x = 1,386.69

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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.