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Finding the Fourth Proportional to 3,534.40, 4,877.76 and 1,963

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Solution

The fourth proportional to 3,534.40, 4,877.76 and 1,963 is: 2,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.40 : 4,877.76 = 1,963 : x
  2. Step 2: Convert to fraction form
    3,534.40/4,877.76 = 1,963/x
  3. Step 3: Cross multiply
    3,534.40x = 4,877.76 × 1,963
  4. Step 4: Simplify right side
    3,534.40x = 9,575,042.88
  5. Step 5: Solve for x
    x = 9,575,042.88/3,534.40
  6. Step 6: Final answer
    x = 2,709.10

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