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Finding the Fourth Proportional to 31,712.04, 47,578.32 and 11,992.32

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Solution

The fourth proportional to 31,712.04, 47,578.32 and 11,992.32 is: 17,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.04 : 47,578.32 = 11,992.32 : x
  2. Step 2: Convert to fraction form
    31,712.04/47,578.32 = 11,992.32/x
  3. Step 3: Cross multiply
    31,712.04x = 47,578.32 × 11,992.32
  4. Step 4: Simplify right side
    31,712.04x = 570,574,438.50
  5. Step 5: Solve for x
    x = 570,574,438.50/31,712.04
  6. Step 6: Final answer
    x = 17,992.36

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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.