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Finding the Fourth Proportional to 31,006, 42,788.76 and 16,858.88

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Solution

The fourth proportional to 31,006, 42,788.76 and 16,858.88 is: 23,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006 : 42,788.76 = 16,858.88 : x
  2. Step 2: Convert to fraction form
    31,006/42,788.76 = 16,858.88/x
  3. Step 3: Cross multiply
    31,006x = 42,788.76 × 16,858.88
  4. Step 4: Simplify right side
    31,006x = 721,370,570.19
  5. Step 5: Solve for x
    x = 721,370,570.19/31,006
  6. Step 6: Final answer
    x = 23,265.52

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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.