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Finding the Fourth Proportional to 5,169, 7,133.76 and 2,931.54

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Solution

The fourth proportional to 5,169, 7,133.76 and 2,931.54 is: 4,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169 : 7,133.76 = 2,931.54 : x
  2. Step 2: Convert to fraction form
    5,169/7,133.76 = 2,931.54/x
  3. Step 3: Cross multiply
    5,169x = 7,133.76 × 2,931.54
  4. Step 4: Simplify right side
    5,169x = 20,912,902.79
  5. Step 5: Solve for x
    x = 20,912,902.79/5,169
  6. Step 6: Final answer
    x = 4,045.83

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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.