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Finding the Fourth Proportional to 30,138.53, 45,210.84 and 7,953.44

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Solution

The fourth proportional to 30,138.53, 45,210.84 and 7,953.44 is: 11,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.53 : 45,210.84 = 7,953.44 : x
  2. Step 2: Convert to fraction form
    30,138.53/45,210.84 = 7,953.44/x
  3. Step 3: Cross multiply
    30,138.53x = 45,210.84 × 7,953.44
  4. Step 4: Simplify right side
    30,138.53x = 359,581,663.52
  5. Step 5: Solve for x
    x = 359,581,663.52/30,138.53
  6. Step 6: Final answer
    x = 11,930.96

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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.