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Finding the Fourth Proportional to 30,783.34, 46,175.01 and 7,409.78

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Solution

The fourth proportional to 30,783.34, 46,175.01 and 7,409.78 is: 11,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.34 : 46,175.01 = 7,409.78 : x
  2. Step 2: Convert to fraction form
    30,783.34/46,175.01 = 7,409.78/x
  3. Step 3: Cross multiply
    30,783.34x = 46,175.01 × 7,409.78
  4. Step 4: Simplify right side
    30,783.34x = 342,146,434.72
  5. Step 5: Solve for x
    x = 342,146,434.72/30,783.34
  6. Step 6: Final answer
    x = 11,114.66

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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.