Home / 6,509-9,742.54-4,289.66

Finding the Fourth Proportional to 6,509, 9,742.54 and 4,289.66

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Solution

The fourth proportional to 6,509, 9,742.54 and 4,289.66 is: 6,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509 : 9,742.54 = 4,289.66 : x
  2. Step 2: Convert to fraction form
    6,509/9,742.54 = 4,289.66/x
  3. Step 3: Cross multiply
    6,509x = 9,742.54 × 4,289.66
  4. Step 4: Simplify right side
    6,509x = 41,792,184.14
  5. Step 5: Solve for x
    x = 41,792,184.14/6,509
  6. Step 6: Final answer
    x = 6,420.68

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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.