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Finding the Fourth Proportional to 1,620.14, 2,235.66 and 956.86

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Solution

The fourth proportional to 1,620.14, 2,235.66 and 956.86 is: 1,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.14 : 2,235.66 = 956.86 : x
  2. Step 2: Convert to fraction form
    1,620.14/2,235.66 = 956.86/x
  3. Step 3: Cross multiply
    1,620.14x = 2,235.66 × 956.86
  4. Step 4: Simplify right side
    1,620.14x = 2,139,219.72
  5. Step 5: Solve for x
    x = 2,139,219.72/1,620.14
  6. Step 6: Final answer
    x = 1,320.40

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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.