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Finding the Fourth Proportional to 1,824.95, 2,518.43 and 985.66

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Solution

The fourth proportional to 1,824.95, 2,518.43 and 985.66 is: 1,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.95 : 2,518.43 = 985.66 : x
  2. Step 2: Convert to fraction form
    1,824.95/2,518.43 = 985.66/x
  3. Step 3: Cross multiply
    1,824.95x = 2,518.43 × 985.66
  4. Step 4: Simplify right side
    1,824.95x = 2,482,309.01
  5. Step 5: Solve for x
    x = 2,482,309.01/1,824.95
  6. Step 6: Final answer
    x = 1,360.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.