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Finding the Fourth Proportional to 30,275.96, 45,398.67 and 9,211.96

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Solution

The fourth proportional to 30,275.96, 45,398.67 and 9,211.96 is: 13,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275.96 : 45,398.67 = 9,211.96 : x
  2. Step 2: Convert to fraction form
    30,275.96/45,398.67 = 9,211.96/x
  3. Step 3: Cross multiply
    30,275.96x = 45,398.67 × 9,211.96
  4. Step 4: Simplify right side
    30,275.96x = 418,210,733.02
  5. Step 5: Solve for x
    x = 418,210,733.02/30,275.96
  6. Step 6: Final answer
    x = 13,813.29

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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.