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Finding the Fourth Proportional to 9,342.70, 12,895.44 and 6,316.44

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Solution

The fourth proportional to 9,342.70, 12,895.44 and 6,316.44 is: 8,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.70 : 12,895.44 = 6,316.44 : x
  2. Step 2: Convert to fraction form
    9,342.70/12,895.44 = 6,316.44/x
  3. Step 3: Cross multiply
    9,342.70x = 12,895.44 × 6,316.44
  4. Step 4: Simplify right side
    9,342.70x = 81,453,318.31
  5. Step 5: Solve for x
    x = 81,453,318.31/9,342.70
  6. Step 6: Final answer
    x = 8,718.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.