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Finding the Fourth Proportional to 30,811.32, 46,217.08 and 7,437.76

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Solution

The fourth proportional to 30,811.32, 46,217.08 and 7,437.76 is: 11,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.32 : 46,217.08 = 7,437.76 : x
  2. Step 2: Convert to fraction form
    30,811.32/46,217.08 = 7,437.76/x
  3. Step 3: Cross multiply
    30,811.32x = 46,217.08 × 7,437.76
  4. Step 4: Simplify right side
    30,811.32x = 343,751,548.94
  5. Step 5: Solve for x
    x = 343,751,548.94/30,811.32
  6. Step 6: Final answer
    x = 11,156.66

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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.