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Finding the Fourth Proportional to 5,784.76, 8,677.16 and 1,889.20

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Solution

The fourth proportional to 5,784.76, 8,677.16 and 1,889.20 is: 2,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.76 : 8,677.16 = 1,889.20 : x
  2. Step 2: Convert to fraction form
    5,784.76/8,677.16 = 1,889.20/x
  3. Step 3: Cross multiply
    5,784.76x = 8,677.16 × 1,889.20
  4. Step 4: Simplify right side
    5,784.76x = 16,392,890.67
  5. Step 5: Solve for x
    x = 16,392,890.67/5,784.76
  6. Step 6: Final answer
    x = 2,833.81

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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.