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Finding the Fourth Proportional to 5,655.69, 8,480.79 and 1,956.63

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Solution

The fourth proportional to 5,655.69, 8,480.79 and 1,956.63 is: 2,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.69 : 8,480.79 = 1,956.63 : x
  2. Step 2: Convert to fraction form
    5,655.69/8,480.79 = 1,956.63/x
  3. Step 3: Cross multiply
    5,655.69x = 8,480.79 × 1,956.63
  4. Step 4: Simplify right side
    5,655.69x = 16,593,768.14
  5. Step 5: Solve for x
    x = 16,593,768.14/5,655.69
  6. Step 6: Final answer
    x = 2,934.00

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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.