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Finding the Fourth Proportional to 31,318.96, 46,979.20 and 7,947.20

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Solution

The fourth proportional to 31,318.96, 46,979.20 and 7,947.20 is: 11,920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,318.96 : 46,979.20 = 7,947.20 : x
  2. Step 2: Convert to fraction form
    31,318.96/46,979.20 = 7,947.20/x
  3. Step 3: Cross multiply
    31,318.96x = 46,979.20 × 7,947.20
  4. Step 4: Simplify right side
    31,318.96x = 373,353,098.24
  5. Step 5: Solve for x
    x = 373,353,098.24/31,318.96
  6. Step 6: Final answer
    x = 11,920.99

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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.