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Finding the Fourth Proportional to 2,041.35, 3,060.99 and 870.90

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Solution

The fourth proportional to 2,041.35, 3,060.99 and 870.90 is: 1,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.35 : 3,060.99 = 870.90 : x
  2. Step 2: Convert to fraction form
    2,041.35/3,060.99 = 870.90/x
  3. Step 3: Cross multiply
    2,041.35x = 3,060.99 × 870.90
  4. Step 4: Simplify right side
    2,041.35x = 2,665,816.19
  5. Step 5: Solve for x
    x = 2,665,816.19/2,041.35
  6. Step 6: Final answer
    x = 1,305.91

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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.