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Finding the Fourth Proportional to 7,811.52, 11,718.76 and 2,881.54

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Solution

The fourth proportional to 7,811.52, 11,718.76 and 2,881.54 is: 4,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.52 : 11,718.76 = 2,881.54 : x
  2. Step 2: Convert to fraction form
    7,811.52/11,718.76 = 2,881.54/x
  3. Step 3: Cross multiply
    7,811.52x = 11,718.76 × 2,881.54
  4. Step 4: Simplify right side
    7,811.52x = 33,768,075.69
  5. Step 5: Solve for x
    x = 33,768,075.69/7,811.52
  6. Step 6: Final answer
    x = 4,322.86

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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.