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Finding the Fourth Proportional to 7,776.56, 11,669.70 and 3,159.56

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Solution

The fourth proportional to 7,776.56, 11,669.70 and 3,159.56 is: 4,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.56 : 11,669.70 = 3,159.56 : x
  2. Step 2: Convert to fraction form
    7,776.56/11,669.70 = 3,159.56/x
  3. Step 3: Cross multiply
    7,776.56x = 11,669.70 × 3,159.56
  4. Step 4: Simplify right side
    7,776.56x = 36,871,117.33
  5. Step 5: Solve for x
    x = 36,871,117.33/7,776.56
  6. Step 6: Final answer
    x = 4,741.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.