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Finding the Fourth Proportional to 30,789, 42,491.40 and 17,359.56

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Solution

The fourth proportional to 30,789, 42,491.40 and 17,359.56 is: 23,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789 : 42,491.40 = 17,359.56 : x
  2. Step 2: Convert to fraction form
    30,789/42,491.40 = 17,359.56/x
  3. Step 3: Cross multiply
    30,789x = 42,491.40 × 17,359.56
  4. Step 4: Simplify right side
    30,789x = 737,632,007.78
  5. Step 5: Solve for x
    x = 737,632,007.78/30,789
  6. Step 6: Final answer
    x = 23,957.65

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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.