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Finding the Fourth Proportional to 6,904.08, 9,527.13 and 3,920.00

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Solution

The fourth proportional to 6,904.08, 9,527.13 and 3,920.00 is: 5,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.08 : 9,527.13 = 3,920.00 : x
  2. Step 2: Convert to fraction form
    6,904.08/9,527.13 = 3,920.00/x
  3. Step 3: Cross multiply
    6,904.08x = 9,527.13 × 3,920.00
  4. Step 4: Simplify right side
    6,904.08x = 37,346,301.96
  5. Step 5: Solve for x
    x = 37,346,301.96/6,904.08
  6. Step 6: Final answer
    x = 5,409.31

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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.