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Finding the Fourth Proportional to 5,719.76, 7,890.96 and 3,594

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Solution

The fourth proportional to 5,719.76, 7,890.96 and 3,594 is: 4,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.76 : 7,890.96 = 3,594 : x
  2. Step 2: Convert to fraction form
    5,719.76/7,890.96 = 3,594/x
  3. Step 3: Cross multiply
    5,719.76x = 7,890.96 × 3,594
  4. Step 4: Simplify right side
    5,719.76x = 28,360,110.24
  5. Step 5: Solve for x
    x = 28,360,110.24/5,719.76
  6. Step 6: Final answer
    x = 4,958.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.