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Finding the Fourth Proportional to 30,491.98, 45,711.67 and 11,785.14

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Solution

The fourth proportional to 30,491.98, 45,711.67 and 11,785.14 is: 17,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491.98 : 45,711.67 = 11,785.14 : x
  2. Step 2: Convert to fraction form
    30,491.98/45,711.67 = 11,785.14/x
  3. Step 3: Cross multiply
    30,491.98x = 45,711.67 × 11,785.14
  4. Step 4: Simplify right side
    30,491.98x = 538,718,430.58
  5. Step 5: Solve for x
    x = 538,718,430.58/30,491.98
  6. Step 6: Final answer
    x = 17,667.55

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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.