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Finding the Fourth Proportional to 9,285.25, 12,815.41 and 7,264.63

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Solution

The fourth proportional to 9,285.25, 12,815.41 and 7,264.63 is: 10,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.25 : 12,815.41 = 7,264.63 : x
  2. Step 2: Convert to fraction form
    9,285.25/12,815.41 = 7,264.63/x
  3. Step 3: Cross multiply
    9,285.25x = 12,815.41 × 7,264.63
  4. Step 4: Simplify right side
    9,285.25x = 93,099,211.95
  5. Step 5: Solve for x
    x = 93,099,211.95/9,285.25
  6. Step 6: Final answer
    x = 10,026.57

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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.