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Finding the Fourth Proportional to 31,480, 43,441.54 and 17,332.92

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Solution

The fourth proportional to 31,480, 43,441.54 and 17,332.92 is: 23,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,480 : 43,441.54 = 17,332.92 : x
  2. Step 2: Convert to fraction form
    31,480/43,441.54 = 17,332.92/x
  3. Step 3: Cross multiply
    31,480x = 43,441.54 × 17,332.92
  4. Step 4: Simplify right side
    31,480x = 752,968,737.50
  5. Step 5: Solve for x
    x = 752,968,737.50/31,480
  6. Step 6: Final answer
    x = 23,918.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.