Home / 20,509.85-30,765.42-6,470

Finding the Fourth Proportional to 20,509.85, 30,765.42 and 6,470

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Solution

The fourth proportional to 20,509.85, 30,765.42 and 6,470 is: 9,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.85 : 30,765.42 = 6,470 : x
  2. Step 2: Convert to fraction form
    20,509.85/30,765.42 = 6,470/x
  3. Step 3: Cross multiply
    20,509.85x = 30,765.42 × 6,470
  4. Step 4: Simplify right side
    20,509.85x = 199,052,267.40
  5. Step 5: Solve for x
    x = 199,052,267.40/20,509.85
  6. Step 6: Final answer
    x = 9,705.20

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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.