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Finding the Fourth Proportional to 30,758.91, 46,123.92 and 18,280.59

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Solution

The fourth proportional to 30,758.91, 46,123.92 and 18,280.59 is: 27,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.91 : 46,123.92 = 18,280.59 : x
  2. Step 2: Convert to fraction form
    30,758.91/46,123.92 = 18,280.59/x
  3. Step 3: Cross multiply
    30,758.91x = 46,123.92 × 18,280.59
  4. Step 4: Simplify right side
    30,758.91x = 843,172,470.71
  5. Step 5: Solve for x
    x = 843,172,470.71/30,758.91
  6. Step 6: Final answer
    x = 27,412.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.