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Finding the Fourth Proportional to 5,722.59, 7,890.94 and 4,969.90

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Solution

The fourth proportional to 5,722.59, 7,890.94 and 4,969.90 is: 6,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.59 : 7,890.94 = 4,969.90 : x
  2. Step 2: Convert to fraction form
    5,722.59/7,890.94 = 4,969.90/x
  3. Step 3: Cross multiply
    5,722.59x = 7,890.94 × 4,969.90
  4. Step 4: Simplify right side
    5,722.59x = 39,217,182.71
  5. Step 5: Solve for x
    x = 39,217,182.71/5,722.59
  6. Step 6: Final answer
    x = 6,853.05

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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.