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Finding the Fourth Proportional to 1,700, 2,346.96 and 1,285.28

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Solution

The fourth proportional to 1,700, 2,346.96 and 1,285.28 is: 1,774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700 : 2,346.96 = 1,285.28 : x
  2. Step 2: Convert to fraction form
    1,700/2,346.96 = 1,285.28/x
  3. Step 3: Cross multiply
    1,700x = 2,346.96 × 1,285.28
  4. Step 4: Simplify right side
    1,700x = 3,016,500.75
  5. Step 5: Solve for x
    x = 3,016,500.75/1,700
  6. Step 6: Final answer
    x = 1,774.41

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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.