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Finding the Fourth Proportional to 12,276.68, 16,947.58 and 7,239.32

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Solution

The fourth proportional to 12,276.68, 16,947.58 and 7,239.32 is: 9,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.68 : 16,947.58 = 7,239.32 : x
  2. Step 2: Convert to fraction form
    12,276.68/16,947.58 = 7,239.32/x
  3. Step 3: Cross multiply
    12,276.68x = 16,947.58 × 7,239.32
  4. Step 4: Simplify right side
    12,276.68x = 122,688,954.85
  5. Step 5: Solve for x
    x = 122,688,954.85/12,276.68
  6. Step 6: Final answer
    x = 9,993.66

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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.