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Finding the Fourth Proportional to 30,781.44, 46,172.18 and 7,407.88

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Solution

The fourth proportional to 30,781.44, 46,172.18 and 7,407.88 is: 11,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.44 : 46,172.18 = 7,407.88 : x
  2. Step 2: Convert to fraction form
    30,781.44/46,172.18 = 7,407.88/x
  3. Step 3: Cross multiply
    30,781.44x = 46,172.18 × 7,407.88
  4. Step 4: Simplify right side
    30,781.44x = 342,037,960.06
  5. Step 5: Solve for x
    x = 342,037,960.06/30,781.44
  6. Step 6: Final answer
    x = 11,111.82

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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.