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Finding the Fourth Proportional to 5,094, 7,641 and 1,631.52

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Solution

The fourth proportional to 5,094, 7,641 and 1,631.52 is: 2,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094 : 7,641 = 1,631.52 : x
  2. Step 2: Convert to fraction form
    5,094/7,641 = 1,631.52/x
  3. Step 3: Cross multiply
    5,094x = 7,641 × 1,631.52
  4. Step 4: Simplify right side
    5,094x = 12,466,444.32
  5. Step 5: Solve for x
    x = 12,466,444.32/5,094
  6. Step 6: Final answer
    x = 2,447.28

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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.