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Finding the Fourth Proportional to 31,097.71, 42,914.57 and 16,950.25

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Solution

The fourth proportional to 31,097.71, 42,914.57 and 16,950.25 is: 23,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.71 : 42,914.57 = 16,950.25 : x
  2. Step 2: Convert to fraction form
    31,097.71/42,914.57 = 16,950.25/x
  3. Step 3: Cross multiply
    31,097.71x = 42,914.57 × 16,950.25
  4. Step 4: Simplify right side
    31,097.71x = 727,412,690.14
  5. Step 5: Solve for x
    x = 727,412,690.14/31,097.71
  6. Step 6: Final answer
    x = 23,391.20

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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.