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Finding the Fourth Proportional to 2,795.81, 4,193.67 and 715.80

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Solution

The fourth proportional to 2,795.81, 4,193.67 and 715.80 is: 1,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.81 : 4,193.67 = 715.80 : x
  2. Step 2: Convert to fraction form
    2,795.81/4,193.67 = 715.80/x
  3. Step 3: Cross multiply
    2,795.81x = 4,193.67 × 715.80
  4. Step 4: Simplify right side
    2,795.81x = 3,001,828.99
  5. Step 5: Solve for x
    x = 3,001,828.99/2,795.81
  6. Step 6: Final answer
    x = 1,073.69

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1.5x scale

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.