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Finding the Fourth Proportional to 3,428.47, 5,143.47 and 1,088.46

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Solution

The fourth proportional to 3,428.47, 5,143.47 and 1,088.46 is: 1,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.47 : 5,143.47 = 1,088.46 : x
  2. Step 2: Convert to fraction form
    3,428.47/5,143.47 = 1,088.46/x
  3. Step 3: Cross multiply
    3,428.47x = 5,143.47 × 1,088.46
  4. Step 4: Simplify right side
    3,428.47x = 5,598,461.36
  5. Step 5: Solve for x
    x = 5,598,461.36/3,428.47
  6. Step 6: Final answer
    x = 1,632.93

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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.