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Finding the Fourth Proportional to 5,809.60, 8,715.72 and 1,913.80

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Solution

The fourth proportional to 5,809.60, 8,715.72 and 1,913.80 is: 2,871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.60 : 8,715.72 = 1,913.80 : x
  2. Step 2: Convert to fraction form
    5,809.60/8,715.72 = 1,913.80/x
  3. Step 3: Cross multiply
    5,809.60x = 8,715.72 × 1,913.80
  4. Step 4: Simplify right side
    5,809.60x = 16,680,144.94
  5. Step 5: Solve for x
    x = 16,680,144.94/5,809.60
  6. Step 6: Final answer
    x = 2,871.13

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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.