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Finding the Fourth Proportional to 9,562, 13,162.80 and 8,295.61

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Solution

The fourth proportional to 9,562, 13,162.80 and 8,295.61 is: 11,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562 : 13,162.80 = 8,295.61 : x
  2. Step 2: Convert to fraction form
    9,562/13,162.80 = 8,295.61/x
  3. Step 3: Cross multiply
    9,562x = 13,162.80 × 8,295.61
  4. Step 4: Simplify right side
    9,562x = 109,193,455.31
  5. Step 5: Solve for x
    x = 109,193,455.31/9,562
  6. Step 6: Final answer
    x = 11,419.52

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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.