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Finding the Fourth Proportional to 2,130.97, 2,940.80 and 1,160.89

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Solution

The fourth proportional to 2,130.97, 2,940.80 and 1,160.89 is: 1,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.97 : 2,940.80 = 1,160.89 : x
  2. Step 2: Convert to fraction form
    2,130.97/2,940.80 = 1,160.89/x
  3. Step 3: Cross multiply
    2,130.97x = 2,940.80 × 1,160.89
  4. Step 4: Simplify right side
    2,130.97x = 3,413,930.61
  5. Step 5: Solve for x
    x = 3,413,930.61/2,130.97
  6. Step 6: Final answer
    x = 1,602.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.