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Finding the Fourth Proportional to 2,660.10, 3,988.80 and 1,564.80

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Solution

The fourth proportional to 2,660.10, 3,988.80 and 1,564.80 is: 2,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.10 : 3,988.80 = 1,564.80 : x
  2. Step 2: Convert to fraction form
    2,660.10/3,988.80 = 1,564.80/x
  3. Step 3: Cross multiply
    2,660.10x = 3,988.80 × 1,564.80
  4. Step 4: Simplify right side
    2,660.10x = 6,241,674.24
  5. Step 5: Solve for x
    x = 6,241,674.24/2,660.10
  6. Step 6: Final answer
    x = 2,346.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.