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Finding the Fourth Proportional to 31,820, 43,910.38 and 17,673.74

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Solution

The fourth proportional to 31,820, 43,910.38 and 17,673.74 is: 24,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820 : 43,910.38 = 17,673.74 : x
  2. Step 2: Convert to fraction form
    31,820/43,910.38 = 17,673.74/x
  3. Step 3: Cross multiply
    31,820x = 43,910.38 × 17,673.74
  4. Step 4: Simplify right side
    31,820x = 776,060,639.42
  5. Step 5: Solve for x
    x = 776,060,639.42/31,820
  6. Step 6: Final answer
    x = 24,389.08

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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.