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Finding the Fourth Proportional to 30,775.58, 42,469.71 and 17,346.58

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Solution

The fourth proportional to 30,775.58, 42,469.71 and 17,346.58 is: 23,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.58 : 42,469.71 = 17,346.58 : x
  2. Step 2: Convert to fraction form
    30,775.58/42,469.71 = 17,346.58/x
  3. Step 3: Cross multiply
    30,775.58x = 42,469.71 × 17,346.58
  4. Step 4: Simplify right side
    30,775.58x = 736,704,115.92
  5. Step 5: Solve for x
    x = 736,704,115.92/30,775.58
  6. Step 6: Final answer
    x = 23,937.94

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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.