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Finding the Fourth Proportional to 2,005.79, 2,988.07 and 1,915.81

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Solution

The fourth proportional to 2,005.79, 2,988.07 and 1,915.81 is: 2,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.79 : 2,988.07 = 1,915.81 : x
  2. Step 2: Convert to fraction form
    2,005.79/2,988.07 = 1,915.81/x
  3. Step 3: Cross multiply
    2,005.79x = 2,988.07 × 1,915.81
  4. Step 4: Simplify right side
    2,005.79x = 5,724,562.13
  5. Step 5: Solve for x
    x = 5,724,562.13/2,005.79
  6. Step 6: Final answer
    x = 2,854.03

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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.