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Finding the Fourth Proportional to 31,910.45, 47,870.74 and 9,718.68

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Solution

The fourth proportional to 31,910.45, 47,870.74 and 9,718.68 is: 14,579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,910.45 : 47,870.74 = 9,718.68 : x
  2. Step 2: Convert to fraction form
    31,910.45/47,870.74 = 9,718.68/x
  3. Step 3: Cross multiply
    31,910.45x = 47,870.74 × 9,718.68
  4. Step 4: Simplify right side
    31,910.45x = 465,240,403.42
  5. Step 5: Solve for x
    x = 465,240,403.42/31,910.45
  6. Step 6: Final answer
    x = 14,579.56

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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.