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Finding the Fourth Proportional to 2,148.76, 3,222.87 and 588.89

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Solution

The fourth proportional to 2,148.76, 3,222.87 and 588.89 is: 883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.76 : 3,222.87 = 588.89 : x
  2. Step 2: Convert to fraction form
    2,148.76/3,222.87 = 588.89/x
  3. Step 3: Cross multiply
    2,148.76x = 3,222.87 × 588.89
  4. Step 4: Simplify right side
    2,148.76x = 1,897,898.33
  5. Step 5: Solve for x
    x = 1,897,898.33/2,148.76
  6. Step 6: Final answer
    x = 883.25

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1.5x scale

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.