Home / 6,904-9,528.42-4,109.50

Finding the Fourth Proportional to 6,904, 9,528.42 and 4,109.50

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Solution

The fourth proportional to 6,904, 9,528.42 and 4,109.50 is: 5,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904 : 9,528.42 = 4,109.50 : x
  2. Step 2: Convert to fraction form
    6,904/9,528.42 = 4,109.50/x
  3. Step 3: Cross multiply
    6,904x = 9,528.42 × 4,109.50
  4. Step 4: Simplify right side
    6,904x = 39,157,041.99
  5. Step 5: Solve for x
    x = 39,157,041.99/6,904
  6. Step 6: Final answer
    x = 5,671.65

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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.