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Finding the Fourth Proportional to 1,960.95, 2,924.12 and 1,688.79

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Solution

The fourth proportional to 1,960.95, 2,924.12 and 1,688.79 is: 2,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.95 : 2,924.12 = 1,688.79 : x
  2. Step 2: Convert to fraction form
    1,960.95/2,924.12 = 1,688.79/x
  3. Step 3: Cross multiply
    1,960.95x = 2,924.12 × 1,688.79
  4. Step 4: Simplify right side
    1,960.95x = 4,938,225.73
  5. Step 5: Solve for x
    x = 4,938,225.73/1,960.95
  6. Step 6: Final answer
    x = 2,518.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.