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Finding the Fourth Proportional to 5,672.94, 7,824.76 and 3,430.95

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Solution

The fourth proportional to 5,672.94, 7,824.76 and 3,430.95 is: 4,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.94 : 7,824.76 = 3,430.95 : x
  2. Step 2: Convert to fraction form
    5,672.94/7,824.76 = 3,430.95/x
  3. Step 3: Cross multiply
    5,672.94x = 7,824.76 × 3,430.95
  4. Step 4: Simplify right side
    5,672.94x = 26,846,360.32
  5. Step 5: Solve for x
    x = 26,846,360.32/5,672.94
  6. Step 6: Final answer
    x = 4,732.35

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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.