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Finding the Fourth Proportional to 8,290.61, 12,435.93 and 6,826.69

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Solution

The fourth proportional to 8,290.61, 12,435.93 and 6,826.69 is: 10,240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.61 : 12,435.93 = 6,826.69 : x
  2. Step 2: Convert to fraction form
    8,290.61/12,435.93 = 6,826.69/x
  3. Step 3: Cross multiply
    8,290.61x = 12,435.93 × 6,826.69
  4. Step 4: Simplify right side
    8,290.61x = 84,896,254.52
  5. Step 5: Solve for x
    x = 84,896,254.52/8,290.61
  6. Step 6: Final answer
    x = 10,240.05

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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.