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Finding the Fourth Proportional to 1,679.52, 2,316.96 and 1,384.64

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Solution

The fourth proportional to 1,679.52, 2,316.96 and 1,384.64 is: 1,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.52 : 2,316.96 = 1,384.64 : x
  2. Step 2: Convert to fraction form
    1,679.52/2,316.96 = 1,384.64/x
  3. Step 3: Cross multiply
    1,679.52x = 2,316.96 × 1,384.64
  4. Step 4: Simplify right side
    1,679.52x = 3,208,155.49
  5. Step 5: Solve for x
    x = 3,208,155.49/1,679.52
  6. Step 6: Final answer
    x = 1,910.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.