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Finding the Fourth Proportional to 2,165.88, 3,246.88 and 778.89

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Solution

The fourth proportional to 2,165.88, 3,246.88 and 778.89 is: 1,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.88 : 3,246.88 = 778.89 : x
  2. Step 2: Convert to fraction form
    2,165.88/3,246.88 = 778.89/x
  3. Step 3: Cross multiply
    2,165.88x = 3,246.88 × 778.89
  4. Step 4: Simplify right side
    2,165.88x = 2,528,962.36
  5. Step 5: Solve for x
    x = 2,528,962.36/2,165.88
  6. Step 6: Final answer
    x = 1,167.64

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1.5x scale

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.