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Finding the Fourth Proportional to 42,751.84, 64,127.82 and 11,587.12

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Solution

The fourth proportional to 42,751.84, 64,127.82 and 11,587.12 is: 17,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,751.84 : 64,127.82 = 11,587.12 : x
  2. Step 2: Convert to fraction form
    42,751.84/64,127.82 = 11,587.12/x
  3. Step 3: Cross multiply
    42,751.84x = 64,127.82 × 11,587.12
  4. Step 4: Simplify right side
    42,751.84x = 743,056,745.68
  5. Step 5: Solve for x
    x = 743,056,745.68/42,751.84
  6. Step 6: Final answer
    x = 17,380.70

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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.