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Finding the Fourth Proportional to 2,038.68, 3,056.94 and 805.32

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Solution

The fourth proportional to 2,038.68, 3,056.94 and 805.32 is: 1,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.68 : 3,056.94 = 805.32 : x
  2. Step 2: Convert to fraction form
    2,038.68/3,056.94 = 805.32/x
  3. Step 3: Cross multiply
    2,038.68x = 3,056.94 × 805.32
  4. Step 4: Simplify right side
    2,038.68x = 2,461,814.92
  5. Step 5: Solve for x
    x = 2,461,814.92/2,038.68
  6. Step 6: Final answer
    x = 1,207.55

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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.