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Finding the Fourth Proportional to 8,777.23, 13,097.92 and 7,842.63

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Solution

The fourth proportional to 8,777.23, 13,097.92 and 7,842.63 is: 11,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777.23 : 13,097.92 = 7,842.63 : x
  2. Step 2: Convert to fraction form
    8,777.23/13,097.92 = 7,842.63/x
  3. Step 3: Cross multiply
    8,777.23x = 13,097.92 × 7,842.63
  4. Step 4: Simplify right side
    8,777.23x = 102,722,140.33
  5. Step 5: Solve for x
    x = 102,722,140.33/8,777.23
  6. Step 6: Final answer
    x = 11,703.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.