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Finding the Fourth Proportional to 1,951.62, 2,927.70 and 653.46

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Solution

The fourth proportional to 1,951.62, 2,927.70 and 653.46 is: 980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.62 : 2,927.70 = 653.46 : x
  2. Step 2: Convert to fraction form
    1,951.62/2,927.70 = 653.46/x
  3. Step 3: Cross multiply
    1,951.62x = 2,927.70 × 653.46
  4. Step 4: Simplify right side
    1,951.62x = 1,913,134.84
  5. Step 5: Solve for x
    x = 1,913,134.84/1,951.62
  6. Step 6: Final answer
    x = 980.28

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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.