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Finding the Fourth Proportional to 7,772.68, 11,652.54 and 3,871.72

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Solution

The fourth proportional to 7,772.68, 11,652.54 and 3,871.72 is: 5,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.68 : 11,652.54 = 3,871.72 : x
  2. Step 2: Convert to fraction form
    7,772.68/11,652.54 = 3,871.72/x
  3. Step 3: Cross multiply
    7,772.68x = 11,652.54 × 3,871.72
  4. Step 4: Simplify right side
    7,772.68x = 45,115,372.17
  5. Step 5: Solve for x
    x = 45,115,372.17/7,772.68
  6. Step 6: Final answer
    x = 5,804.35

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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.