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Finding the Fourth Proportional to 3,164.34, 4,747.23 and 972.93

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Solution

The fourth proportional to 3,164.34, 4,747.23 and 972.93 is: 1,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.34 : 4,747.23 = 972.93 : x
  2. Step 2: Convert to fraction form
    3,164.34/4,747.23 = 972.93/x
  3. Step 3: Cross multiply
    3,164.34x = 4,747.23 × 972.93
  4. Step 4: Simplify right side
    3,164.34x = 4,618,722.48
  5. Step 5: Solve for x
    x = 4,618,722.48/3,164.34
  6. Step 6: Final answer
    x = 1,459.62

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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.