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Finding the Fourth Proportional to 1,988.59, 2,762.24 and 1,956.80

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Solution

The fourth proportional to 1,988.59, 2,762.24 and 1,956.80 is: 2,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.59 : 2,762.24 = 1,956.80 : x
  2. Step 2: Convert to fraction form
    1,988.59/2,762.24 = 1,956.80/x
  3. Step 3: Cross multiply
    1,988.59x = 2,762.24 × 1,956.80
  4. Step 4: Simplify right side
    1,988.59x = 5,405,151.42
  5. Step 5: Solve for x
    x = 5,405,151.42/1,988.59
  6. Step 6: Final answer
    x = 2,718.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.