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Finding the Fourth Proportional to 7,805.96, 10,739.48 and 6,813.52

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Solution

The fourth proportional to 7,805.96, 10,739.48 and 6,813.52 is: 9,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.96 : 10,739.48 = 6,813.52 : x
  2. Step 2: Convert to fraction form
    7,805.96/10,739.48 = 6,813.52/x
  3. Step 3: Cross multiply
    7,805.96x = 10,739.48 × 6,813.52
  4. Step 4: Simplify right side
    7,805.96x = 73,173,661.77
  5. Step 5: Solve for x
    x = 73,173,661.77/7,805.96
  6. Step 6: Final answer
    x = 9,374.08

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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.