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Finding the Fourth Proportional to 5,426, 7,487.88 and 2,942

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Solution

The fourth proportional to 5,426, 7,487.88 and 2,942 is: 4,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426 : 7,487.88 = 2,942 : x
  2. Step 2: Convert to fraction form
    5,426/7,487.88 = 2,942/x
  3. Step 3: Cross multiply
    5,426x = 7,487.88 × 2,942
  4. Step 4: Simplify right side
    5,426x = 22,029,342.96
  5. Step 5: Solve for x
    x = 22,029,342.96/5,426
  6. Step 6: Final answer
    x = 4,059.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.