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Finding the Fourth Proportional to 2,172.48, 3,258.05 and 785.65

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Solution

The fourth proportional to 2,172.48, 3,258.05 and 785.65 is: 1,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.48 : 3,258.05 = 785.65 : x
  2. Step 2: Convert to fraction form
    2,172.48/3,258.05 = 785.65/x
  3. Step 3: Cross multiply
    2,172.48x = 3,258.05 × 785.65
  4. Step 4: Simplify right side
    2,172.48x = 2,559,686.98
  5. Step 5: Solve for x
    x = 2,559,686.98/2,172.48
  6. Step 6: Final answer
    x = 1,178.23

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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.