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Finding the Fourth Proportional to 12,294.95, 18,409.64 and 6,439.28

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Solution

The fourth proportional to 12,294.95, 18,409.64 and 6,439.28 is: 9,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.95 : 18,409.64 = 6,439.28 : x
  2. Step 2: Convert to fraction form
    12,294.95/18,409.64 = 6,439.28/x
  3. Step 3: Cross multiply
    12,294.95x = 18,409.64 × 6,439.28
  4. Step 4: Simplify right side
    12,294.95x = 118,544,702.41
  5. Step 5: Solve for x
    x = 118,544,702.41/12,294.95
  6. Step 6: Final answer
    x = 9,641.74

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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.