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Finding the Fourth Proportional to 2,154.73, 2,973.80 and 1,270.61

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Solution

The fourth proportional to 2,154.73, 2,973.80 and 1,270.61 is: 1,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.73 : 2,973.80 = 1,270.61 : x
  2. Step 2: Convert to fraction form
    2,154.73/2,973.80 = 1,270.61/x
  3. Step 3: Cross multiply
    2,154.73x = 2,973.80 × 1,270.61
  4. Step 4: Simplify right side
    2,154.73x = 3,778,533.66
  5. Step 5: Solve for x
    x = 3,778,533.66/2,154.73
  6. Step 6: Final answer
    x = 1,753.60

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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.