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Finding the Fourth Proportional to 3,534.75, 4,878 and 1,962.81

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Solution

The fourth proportional to 3,534.75, 4,878 and 1,962.81 is: 2,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.75 : 4,878 = 1,962.81 : x
  2. Step 2: Convert to fraction form
    3,534.75/4,878 = 1,962.81/x
  3. Step 3: Cross multiply
    3,534.75x = 4,878 × 1,962.81
  4. Step 4: Simplify right side
    3,534.75x = 9,574,587.18
  5. Step 5: Solve for x
    x = 9,574,587.18/3,534.75
  6. Step 6: Final answer
    x = 2,708.70

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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.