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Finding the Fourth Proportional to 1,705.76, 2,356.26 and 1,337.40

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Solution

The fourth proportional to 1,705.76, 2,356.26 and 1,337.40 is: 1,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.76 : 2,356.26 = 1,337.40 : x
  2. Step 2: Convert to fraction form
    1,705.76/2,356.26 = 1,337.40/x
  3. Step 3: Cross multiply
    1,705.76x = 2,356.26 × 1,337.40
  4. Step 4: Simplify right side
    1,705.76x = 3,151,262.12
  5. Step 5: Solve for x
    x = 3,151,262.12/1,705.76
  6. Step 6: Final answer
    x = 1,847.42

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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.