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Finding the Fourth Proportional to 4,951.84, 7,427.58 and 1,489

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Solution

The fourth proportional to 4,951.84, 7,427.58 and 1,489 is: 2,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.84 : 7,427.58 = 1,489 : x
  2. Step 2: Convert to fraction form
    4,951.84/7,427.58 = 1,489/x
  3. Step 3: Cross multiply
    4,951.84x = 7,427.58 × 1,489
  4. Step 4: Simplify right side
    4,951.84x = 11,059,666.62
  5. Step 5: Solve for x
    x = 11,059,666.62/4,951.84
  6. Step 6: Final answer
    x = 2,233.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.