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Finding the Fourth Proportional to 5,677.86, 7,832.76 and 3,790.32

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Solution

The fourth proportional to 5,677.86, 7,832.76 and 3,790.32 is: 5,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.86 : 7,832.76 = 3,790.32 : x
  2. Step 2: Convert to fraction form
    5,677.86/7,832.76 = 3,790.32/x
  3. Step 3: Cross multiply
    5,677.86x = 7,832.76 × 3,790.32
  4. Step 4: Simplify right side
    5,677.86x = 29,688,666.88
  5. Step 5: Solve for x
    x = 29,688,666.88/5,677.86
  6. Step 6: Final answer
    x = 5,228.85

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1.5x scale

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.