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Finding the Fourth Proportional to 2,077.70, 3,117.13 and 845.99

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Solution

The fourth proportional to 2,077.70, 3,117.13 and 845.99 is: 1,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.70 : 3,117.13 = 845.99 : x
  2. Step 2: Convert to fraction form
    2,077.70/3,117.13 = 845.99/x
  3. Step 3: Cross multiply
    2,077.70x = 3,117.13 × 845.99
  4. Step 4: Simplify right side
    2,077.70x = 2,637,060.81
  5. Step 5: Solve for x
    x = 2,637,060.81/2,077.70
  6. Step 6: Final answer
    x = 1,269.22

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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.