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Finding the Fourth Proportional to 7,871.48, 11,809.68 and 4,945.76

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Solution

The fourth proportional to 7,871.48, 11,809.68 and 4,945.76 is: 7,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.48 : 11,809.68 = 4,945.76 : x
  2. Step 2: Convert to fraction form
    7,871.48/11,809.68 = 4,945.76/x
  3. Step 3: Cross multiply
    7,871.48x = 11,809.68 × 4,945.76
  4. Step 4: Simplify right side
    7,871.48x = 58,407,842.96
  5. Step 5: Solve for x
    x = 58,407,842.96/7,871.48
  6. Step 6: Final answer
    x = 7,420.19

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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.