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Finding the Fourth Proportional to 6,842.78, 9,443.05 and 4,009.59

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Solution

The fourth proportional to 6,842.78, 9,443.05 and 4,009.59 is: 5,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.78 : 9,443.05 = 4,009.59 : x
  2. Step 2: Convert to fraction form
    6,842.78/9,443.05 = 4,009.59/x
  3. Step 3: Cross multiply
    6,842.78x = 9,443.05 × 4,009.59
  4. Step 4: Simplify right side
    6,842.78x = 37,862,761.20
  5. Step 5: Solve for x
    x = 37,862,761.20/6,842.78
  6. Step 6: Final answer
    x = 5,533.24

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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.