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Finding the Fourth Proportional to 3,318.01, 4,975.29 and 977.70

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Solution

The fourth proportional to 3,318.01, 4,975.29 and 977.70 is: 1,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.01 : 4,975.29 = 977.70 : x
  2. Step 2: Convert to fraction form
    3,318.01/4,975.29 = 977.70/x
  3. Step 3: Cross multiply
    3,318.01x = 4,975.29 × 977.70
  4. Step 4: Simplify right side
    3,318.01x = 4,864,356.02
  5. Step 5: Solve for x
    x = 4,864,356.02/3,318.01
  6. Step 6: Final answer
    x = 1,466.05

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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.