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Finding the Fourth Proportional to 2,078.48, 3,117.99 and 845.93

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Solution

The fourth proportional to 2,078.48, 3,117.99 and 845.93 is: 1,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.48 : 3,117.99 = 845.93 : x
  2. Step 2: Convert to fraction form
    2,078.48/3,117.99 = 845.93/x
  3. Step 3: Cross multiply
    2,078.48x = 3,117.99 × 845.93
  4. Step 4: Simplify right side
    2,078.48x = 2,637,601.28
  5. Step 5: Solve for x
    x = 2,637,601.28/2,078.48
  6. Step 6: Final answer
    x = 1,269.00

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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.