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Finding the Fourth Proportional to 5,809.76, 8,716.56 and 1,916.84

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Solution

The fourth proportional to 5,809.76, 8,716.56 and 1,916.84 is: 2,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.76 : 8,716.56 = 1,916.84 : x
  2. Step 2: Convert to fraction form
    5,809.76/8,716.56 = 1,916.84/x
  3. Step 3: Cross multiply
    5,809.76x = 8,716.56 × 1,916.84
  4. Step 4: Simplify right side
    5,809.76x = 16,708,250.87
  5. Step 5: Solve for x
    x = 16,708,250.87/5,809.76
  6. Step 6: Final answer
    x = 2,875.89

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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.