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Finding the Fourth Proportional to 2,355.50, 3,534.60 and 875.75

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Solution

The fourth proportional to 2,355.50, 3,534.60 and 875.75 is: 1,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.50 : 3,534.60 = 875.75 : x
  2. Step 2: Convert to fraction form
    2,355.50/3,534.60 = 875.75/x
  3. Step 3: Cross multiply
    2,355.50x = 3,534.60 × 875.75
  4. Step 4: Simplify right side
    2,355.50x = 3,095,425.95
  5. Step 5: Solve for x
    x = 3,095,425.95/2,355.50
  6. Step 6: Final answer
    x = 1,314.13

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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.