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Finding the Fourth Proportional to 7,855.79, 11,780.64 and 2,924.30

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Solution

The fourth proportional to 7,855.79, 11,780.64 and 2,924.30 is: 4,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.79 : 11,780.64 = 2,924.30 : x
  2. Step 2: Convert to fraction form
    7,855.79/11,780.64 = 2,924.30/x
  3. Step 3: Cross multiply
    7,855.79x = 11,780.64 × 2,924.30
  4. Step 4: Simplify right side
    7,855.79x = 34,450,155.00
  5. Step 5: Solve for x
    x = 34,450,155.00/7,855.79
  6. Step 6: Final answer
    x = 4,385.32

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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.