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Finding the Fourth Proportional to 3,165.79, 4,749.43 and 974.47

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Solution

The fourth proportional to 3,165.79, 4,749.43 and 974.47 is: 1,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.79 : 4,749.43 = 974.47 : x
  2. Step 2: Convert to fraction form
    3,165.79/4,749.43 = 974.47/x
  3. Step 3: Cross multiply
    3,165.79x = 4,749.43 × 974.47
  4. Step 4: Simplify right side
    3,165.79x = 4,628,172.18
  5. Step 5: Solve for x
    x = 4,628,172.18/3,165.79
  6. Step 6: Final answer
    x = 1,461.93

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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.