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Finding the Fourth Proportional to 2,154.89, 2,973.74 and 1,258.80

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Solution

The fourth proportional to 2,154.89, 2,973.74 and 1,258.80 is: 1,737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.89 : 2,973.74 = 1,258.80 : x
  2. Step 2: Convert to fraction form
    2,154.89/2,973.74 = 1,258.80/x
  3. Step 3: Cross multiply
    2,154.89x = 2,973.74 × 1,258.80
  4. Step 4: Simplify right side
    2,154.89x = 3,743,337.62
  5. Step 5: Solve for x
    x = 3,743,337.62/2,154.89
  6. Step 6: Final answer
    x = 1,737.14

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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.