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Finding the Fourth Proportional to 31,992.51, 47,968.22 and 13,285.46

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Solution

The fourth proportional to 31,992.51, 47,968.22 and 13,285.46 is: 19,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992.51 : 47,968.22 = 13,285.46 : x
  2. Step 2: Convert to fraction form
    31,992.51/47,968.22 = 13,285.46/x
  3. Step 3: Cross multiply
    31,992.51x = 47,968.22 × 13,285.46
  4. Step 4: Simplify right side
    31,992.51x = 637,279,561.81
  5. Step 5: Solve for x
    x = 637,279,561.81/31,992.51
  6. Step 6: Final answer
    x = 19,919.65

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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.