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Finding the Fourth Proportional to 3,392.50, 4,681.65 and 1,920.50

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Solution

The fourth proportional to 3,392.50, 4,681.65 and 1,920.50 is: 2,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.50 : 4,681.65 = 1,920.50 : x
  2. Step 2: Convert to fraction form
    3,392.50/4,681.65 = 1,920.50/x
  3. Step 3: Cross multiply
    3,392.50x = 4,681.65 × 1,920.50
  4. Step 4: Simplify right side
    3,392.50x = 8,991,108.83
  5. Step 5: Solve for x
    x = 8,991,108.83/3,392.50
  6. Step 6: Final answer
    x = 2,650.29

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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.