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Finding the Fourth Proportional to 9,957.28, 14,935.92 and 8,309.76

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Solution

The fourth proportional to 9,957.28, 14,935.92 and 8,309.76 is: 12,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.28 : 14,935.92 = 8,309.76 : x
  2. Step 2: Convert to fraction form
    9,957.28/14,935.92 = 8,309.76/x
  3. Step 3: Cross multiply
    9,957.28x = 14,935.92 × 8,309.76
  4. Step 4: Simplify right side
    9,957.28x = 124,113,910.58
  5. Step 5: Solve for x
    x = 124,113,910.58/9,957.28
  6. Step 6: Final answer
    x = 12,464.64

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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.