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Finding the Fourth Proportional to 5,386.66, 8,080.02 and 1,638.49

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Solution

The fourth proportional to 5,386.66, 8,080.02 and 1,638.49 is: 2,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.66 : 8,080.02 = 1,638.49 : x
  2. Step 2: Convert to fraction form
    5,386.66/8,080.02 = 1,638.49/x
  3. Step 3: Cross multiply
    5,386.66x = 8,080.02 × 1,638.49
  4. Step 4: Simplify right side
    5,386.66x = 13,239,031.97
  5. Step 5: Solve for x
    x = 13,239,031.97/5,386.66
  6. Step 6: Final answer
    x = 2,457.74

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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.