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Finding the Fourth Proportional to 8,590.32, 12,895.74 and 6,856.74

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Solution

The fourth proportional to 8,590.32, 12,895.74 and 6,856.74 is: 10,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.32 : 12,895.74 = 6,856.74 : x
  2. Step 2: Convert to fraction form
    8,590.32/12,895.74 = 6,856.74/x
  3. Step 3: Cross multiply
    8,590.32x = 12,895.74 × 6,856.74
  4. Step 4: Simplify right side
    8,590.32x = 88,422,736.29
  5. Step 5: Solve for x
    x = 88,422,736.29/8,590.32
  6. Step 6: Final answer
    x = 10,293.30

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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.