Home / 5,730-8,584.95-4,077.90

Finding the Fourth Proportional to 5,730, 8,584.95 and 4,077.90

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Solution

The fourth proportional to 5,730, 8,584.95 and 4,077.90 is: 6,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730 : 8,584.95 = 4,077.90 : x
  2. Step 2: Convert to fraction form
    5,730/8,584.95 = 4,077.90/x
  3. Step 3: Cross multiply
    5,730x = 8,584.95 × 4,077.90
  4. Step 4: Simplify right side
    5,730x = 35,008,567.61
  5. Step 5: Solve for x
    x = 35,008,567.61/5,730
  6. Step 6: Final answer
    x = 6,109.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.