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Finding the Fourth Proportional to 31,762.39, 47,639.92 and 8,390.65

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Solution

The fourth proportional to 31,762.39, 47,639.92 and 8,390.65 is: 12,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.39 : 47,639.92 = 8,390.65 : x
  2. Step 2: Convert to fraction form
    31,762.39/47,639.92 = 8,390.65/x
  3. Step 3: Cross multiply
    31,762.39x = 47,639.92 × 8,390.65
  4. Step 4: Simplify right side
    31,762.39x = 399,729,894.75
  5. Step 5: Solve for x
    x = 399,729,894.75/31,762.39
  6. Step 6: Final answer
    x = 12,585.01

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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.