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Finding the Fourth Proportional to 5,784.82, 8,678.75 and 3,320.50

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Solution

The fourth proportional to 5,784.82, 8,678.75 and 3,320.50 is: 4,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.82 : 8,678.75 = 3,320.50 : x
  2. Step 2: Convert to fraction form
    5,784.82/8,678.75 = 3,320.50/x
  3. Step 3: Cross multiply
    5,784.82x = 8,678.75 × 3,320.50
  4. Step 4: Simplify right side
    5,784.82x = 28,817,789.38
  5. Step 5: Solve for x
    x = 28,817,789.38/5,784.82
  6. Step 6: Final answer
    x = 4,981.63

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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.