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Finding the Fourth Proportional to 1,671.08, 2,306.07 and 925.10

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Solution

The fourth proportional to 1,671.08, 2,306.07 and 925.10 is: 1,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.08 : 2,306.07 = 925.10 : x
  2. Step 2: Convert to fraction form
    1,671.08/2,306.07 = 925.10/x
  3. Step 3: Cross multiply
    1,671.08x = 2,306.07 × 925.10
  4. Step 4: Simplify right side
    1,671.08x = 2,133,333.83
  5. Step 5: Solve for x
    x = 2,133,333.83/1,671.08
  6. Step 6: Final answer
    x = 1,276.62

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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.