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Finding the Fourth Proportional to 1,341.96, 2,003.85 and 1,064.94

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Solution

The fourth proportional to 1,341.96, 2,003.85 and 1,064.94 is: 1,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.96 : 2,003.85 = 1,064.94 : x
  2. Step 2: Convert to fraction form
    1,341.96/2,003.85 = 1,064.94/x
  3. Step 3: Cross multiply
    1,341.96x = 2,003.85 × 1,064.94
  4. Step 4: Simplify right side
    1,341.96x = 2,133,980.02
  5. Step 5: Solve for x
    x = 2,133,980.02/1,341.96
  6. Step 6: Final answer
    x = 1,590.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.