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Finding the Fourth Proportional to 6,842.50, 9,442.09 and 4,009.51

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Solution

The fourth proportional to 6,842.50, 9,442.09 and 4,009.51 is: 5,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.50 : 9,442.09 = 4,009.51 : x
  2. Step 2: Convert to fraction form
    6,842.50/9,442.09 = 4,009.51/x
  3. Step 3: Cross multiply
    6,842.50x = 9,442.09 × 4,009.51
  4. Step 4: Simplify right side
    6,842.50x = 37,858,154.28
  5. Step 5: Solve for x
    x = 37,858,154.28/6,842.50
  6. Step 6: Final answer
    x = 5,532.80

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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.