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Finding the Fourth Proportional to 30,151.98, 45,215.82 and 9,085.50

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Solution

The fourth proportional to 30,151.98, 45,215.82 and 9,085.50 is: 13,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151.98 : 45,215.82 = 9,085.50 : x
  2. Step 2: Convert to fraction form
    30,151.98/45,215.82 = 9,085.50/x
  3. Step 3: Cross multiply
    30,151.98x = 45,215.82 × 9,085.50
  4. Step 4: Simplify right side
    30,151.98x = 410,808,332.61
  5. Step 5: Solve for x
    x = 410,808,332.61/30,151.98
  6. Step 6: Final answer
    x = 13,624.59

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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.