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Finding the Fourth Proportional to 8,474.95, 12,702.16 and 7,478.52

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Solution

The fourth proportional to 8,474.95, 12,702.16 and 7,478.52 is: 11,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.95 : 12,702.16 = 7,478.52 : x
  2. Step 2: Convert to fraction form
    8,474.95/12,702.16 = 7,478.52/x
  3. Step 3: Cross multiply
    8,474.95x = 12,702.16 × 7,478.52
  4. Step 4: Simplify right side
    8,474.95x = 94,993,357.60
  5. Step 5: Solve for x
    x = 94,993,357.60/8,474.95
  6. Step 6: Final answer
    x = 11,208.72

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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.