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Finding the Fourth Proportional to 2,321.35, 3,482.56 and 782.35

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Solution

The fourth proportional to 2,321.35, 3,482.56 and 782.35 is: 1,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.35 : 3,482.56 = 782.35 : x
  2. Step 2: Convert to fraction form
    2,321.35/3,482.56 = 782.35/x
  3. Step 3: Cross multiply
    2,321.35x = 3,482.56 × 782.35
  4. Step 4: Simplify right side
    2,321.35x = 2,724,570.15
  5. Step 5: Solve for x
    x = 2,724,570.15/2,321.35
  6. Step 6: Final answer
    x = 1,173.70

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1.5x scale

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.