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Finding the Fourth Proportional to 30,743.78, 46,113.84 and 10,751.87

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Solution

The fourth proportional to 30,743.78, 46,113.84 and 10,751.87 is: 16,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,743.78 : 46,113.84 = 10,751.87 : x
  2. Step 2: Convert to fraction form
    30,743.78/46,113.84 = 10,751.87/x
  3. Step 3: Cross multiply
    30,743.78x = 46,113.84 × 10,751.87
  4. Step 4: Simplify right side
    30,743.78x = 495,810,128.17
  5. Step 5: Solve for x
    x = 495,810,128.17/30,743.78
  6. Step 6: Final answer
    x = 16,127.17

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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.