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Finding the Fourth Proportional to 6,901.03, 9,505.65 and 5,406.31

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Solution

The fourth proportional to 6,901.03, 9,505.65 and 5,406.31 is: 7,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.03 : 9,505.65 = 5,406.31 : x
  2. Step 2: Convert to fraction form
    6,901.03/9,505.65 = 5,406.31/x
  3. Step 3: Cross multiply
    6,901.03x = 9,505.65 × 5,406.31
  4. Step 4: Simplify right side
    6,901.03x = 51,390,490.65
  5. Step 5: Solve for x
    x = 51,390,490.65/6,901.03
  6. Step 6: Final answer
    x = 7,446.79

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1.5x scale

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.