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Finding the Fourth Proportional to 3,315.28, 4,971.70 and 974.68

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Solution

The fourth proportional to 3,315.28, 4,971.70 and 974.68 is: 1,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.28 : 4,971.70 = 974.68 : x
  2. Step 2: Convert to fraction form
    3,315.28/4,971.70 = 974.68/x
  3. Step 3: Cross multiply
    3,315.28x = 4,971.70 × 974.68
  4. Step 4: Simplify right side
    3,315.28x = 4,845,816.56
  5. Step 5: Solve for x
    x = 4,845,816.56/3,315.28
  6. Step 6: Final answer
    x = 1,461.66

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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.