Home / 1,384.14-2,076.11-410.32

Finding the Fourth Proportional to 1,384.14, 2,076.11 and 410.32

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Solution

The fourth proportional to 1,384.14, 2,076.11 and 410.32 is: 615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.14 : 2,076.11 = 410.32 : x
  2. Step 2: Convert to fraction form
    1,384.14/2,076.11 = 410.32/x
  3. Step 3: Cross multiply
    1,384.14x = 2,076.11 × 410.32
  4. Step 4: Simplify right side
    1,384.14x = 851,869.46
  5. Step 5: Solve for x
    x = 851,869.46/1,384.14
  6. Step 6: Final answer
    x = 615.45

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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.