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Finding the Fourth Proportional to 3,095.10, 4,642.96 and 903.86

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Solution

The fourth proportional to 3,095.10, 4,642.96 and 903.86 is: 1,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.10 : 4,642.96 = 903.86 : x
  2. Step 2: Convert to fraction form
    3,095.10/4,642.96 = 903.86/x
  3. Step 3: Cross multiply
    3,095.10x = 4,642.96 × 903.86
  4. Step 4: Simplify right side
    3,095.10x = 4,196,585.83
  5. Step 5: Solve for x
    x = 4,196,585.83/3,095.10
  6. Step 6: Final answer
    x = 1,355.88

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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.