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Finding the Fourth Proportional to 9,570.50, 14,355.75 and 2,645

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Solution

The fourth proportional to 9,570.50, 14,355.75 and 2,645 is: 3,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.50 : 14,355.75 = 2,645 : x
  2. Step 2: Convert to fraction form
    9,570.50/14,355.75 = 2,645/x
  3. Step 3: Cross multiply
    9,570.50x = 14,355.75 × 2,645
  4. Step 4: Simplify right side
    9,570.50x = 37,970,958.75
  5. Step 5: Solve for x
    x = 37,970,958.75/9,570.50
  6. Step 6: Final answer
    x = 3,967.50

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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.