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Finding the Fourth Proportional to 5,677.58, 7,835.30 and 3,438.20

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Solution

The fourth proportional to 5,677.58, 7,835.30 and 3,438.20 is: 4,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.58 : 7,835.30 = 3,438.20 : x
  2. Step 2: Convert to fraction form
    5,677.58/7,835.30 = 3,438.20/x
  3. Step 3: Cross multiply
    5,677.58x = 7,835.30 × 3,438.20
  4. Step 4: Simplify right side
    5,677.58x = 26,939,272.09
  5. Step 5: Solve for x
    x = 26,939,272.09/5,677.58
  6. Step 6: Final answer
    x = 4,744.86

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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.