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Finding the Fourth Proportional to 9,959.46, 14,921.87 and 8,313.74

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Solution

The fourth proportional to 9,959.46, 14,921.87 and 8,313.74 is: 12,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.46 : 14,921.87 = 8,313.74 : x
  2. Step 2: Convert to fraction form
    9,959.46/14,921.87 = 8,313.74/x
  3. Step 3: Cross multiply
    9,959.46x = 14,921.87 × 8,313.74
  4. Step 4: Simplify right side
    9,959.46x = 124,056,534.04
  5. Step 5: Solve for x
    x = 124,056,534.04/9,959.46
  6. Step 6: Final answer
    x = 12,456.16

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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.