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Finding the Fourth Proportional to 1,440, 2,156.16 and 1,180.80

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Solution

The fourth proportional to 1,440, 2,156.16 and 1,180.80 is: 1,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440 : 2,156.16 = 1,180.80 : x
  2. Step 2: Convert to fraction form
    1,440/2,156.16 = 1,180.80/x
  3. Step 3: Cross multiply
    1,440x = 2,156.16 × 1,180.80
  4. Step 4: Simplify right side
    1,440x = 2,545,993.73
  5. Step 5: Solve for x
    x = 2,545,993.73/1,440
  6. Step 6: Final answer
    x = 1,768.05

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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.