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Finding the Fourth Proportional to 8,280.51, 12,406.19 and 7,787.22

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Solution

The fourth proportional to 8,280.51, 12,406.19 and 7,787.22 is: 11,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.51 : 12,406.19 = 7,787.22 : x
  2. Step 2: Convert to fraction form
    8,280.51/12,406.19 = 7,787.22/x
  3. Step 3: Cross multiply
    8,280.51x = 12,406.19 × 7,787.22
  4. Step 4: Simplify right side
    8,280.51x = 96,609,691.96
  5. Step 5: Solve for x
    x = 96,609,691.96/8,280.51
  6. Step 6: Final answer
    x = 11,667.12

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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.